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872 lines
16 KiB
Plaintext
872 lines
16 KiB
Plaintext
#LyX 2.3 created this file. For more info see http://www.lyx.org/
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\lyxformat 544
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\begin_document
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\begin_header
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\save_transient_properties true
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\origin /systemlyxdir/examples/
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\textclass scrartcl
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\begin_preamble
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% DO NOT ALTER THIS PREAMBLE!!!
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%
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% This preamble is designed to ensure that the file prints
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% out as advertised. If you mess with this preamble,
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% parts of this document may not print out as expected. If you
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% have problems LaTeXing this file, please contact
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% the documentation team
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% email: lyx-docs@lists.lyx.org
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% if pdflatex is used
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{\usepackage{lmodern}}{}
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% used to have extra space in table cells
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\@ifundefined{extrarowheight}
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{\usepackage{array}}{}
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\language english
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\paperfontsize 12
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\spacing single
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\use_hyperref true
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\pdf_title "Feynman Diagrams"
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\pdf_author "LyX Team, Uwe Stöhr, Ronen Abravanel"
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\use_package amsmath 1
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\use_package amssymb 1
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\use_package cancel 1
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\use_package esint 1
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\use_package mathdots 1
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\use_package mathtools 1
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\use_package mhchem 1
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\use_package stackrel 1
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\use_package stmaryrd 1
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\use_package undertilde 1
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\cite_engine basic
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\justification true
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\use_refstyle 0
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\notefontcolor #0000ff
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\index Index
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\shortcut idx
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\color #008000
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\end_index
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\secnumdepth 3
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\tocdepth 3
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\paragraph_separation skip
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\defskip medskip
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\end_header
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\begin_body
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\begin_layout Title
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Feynman Diagrams
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\end_layout
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\begin_layout Standard
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\begin_inset Note Note
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status open
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\begin_layout Plain Layout
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authors: Uwe Stöhr and Ronen Abravanel
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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To be able to create
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\noun on
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Feynman
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\noun default
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diagrams, the \SpecialChar LaTeX
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-package
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\series bold
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feyn
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\series default
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must be installed.
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A
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\noun on
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Feynman
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\noun default
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diagram is created by inserting the command
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\series bold
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\backslash
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Diagram
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\series default
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in a formula.
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Then you are able to add new matrix columns and rows like a normal matrices.
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\end_layout
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\begin_layout Standard
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As matrix entry, one can enter commands that act as
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\begin_inset Quotes eld
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\end_inset
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particles
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\begin_inset Quotes erd
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\end_inset
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or
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\begin_inset Quotes eld
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\end_inset
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propagators
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\begin_inset Quotes erd
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\end_inset
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, for example:
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\end_layout
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\begin_layout Standard
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\align center
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\begin_inset Tabular
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<lyxtabular version="3" rows="7" columns="4">
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<features booktabs="true" tabularvalignment="middle">
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<column alignment="center" valignment="middle" width="28col%">
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<column alignment="center" valignment="middle" width="20col%">
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<column alignment="center" valignment="middle" width="25col%">
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<column alignment="center" valignment="middle" width="20col%">
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<row>
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<cell alignment="center" valignment="top" topline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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Commands
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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Description
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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Example
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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Result
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\end_layout
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\end_inset
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</cell>
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</row>
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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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f,g,h
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\noindent
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\align left
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fermion, photon or ghost propagator
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\begin_inset Tabular
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<lyxtabular version="3" rows="1" columns="3">
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<features tabularvalignment="middle">
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<column alignment="center" valignment="top">
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<column alignment="center" valignment="top">
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<column alignment="center" valignment="top">
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<row>
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<cell alignment="center" valignment="top" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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f
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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g
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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h
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\begin_inset Formula $\Diagram{f & g & h}
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$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fu,fd,fv (gu,gd,gv)
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\noindent
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\align left
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fermion/photon, going up/down/vertical
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\begin_inset Tabular
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<lyxtabular version="3" rows="2" columns="3">
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<features tabularvalignment="middle">
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<column alignment="center" valignment="top">
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<column alignment="center" valignment="top">
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<column alignment="center" valignment="middle">
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<row>
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<cell alignment="center" valignment="top" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fd
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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gu
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\end_layout
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\end_inset
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</cell>
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</row>
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<row>
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<cell alignment="center" valignment="top" topline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fv
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\begin_inset Formula $\Diagram{fd & & gu\\
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& fv
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}
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$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fA,fV
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\noindent
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\align left
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A and V are modifiers to produce arrow going left/up or right/down
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\begin_inset Tabular
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<lyxtabular version="3" rows="2" columns="3">
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<features tabularvalignment="middle">
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<column alignment="center" valignment="top">
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<column alignment="center" valignment="top">
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<column alignment="center" valignment="middle">
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<row>
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<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fdA
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" bottomline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fuV
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\end_layout
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\end_inset
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</cell>
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</row>
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<row>
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<cell alignment="center" valignment="top" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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gvV
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\begin_inset Formula $\Diagram{fdA & & fuV\\
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& gvV
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}
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$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fl,glB,glS,fl1,gl2, etc.
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\noindent
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\align left
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fermions/photons loop
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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|
\begin_layout Plain Layout
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\begin_inset Tabular
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<lyxtabular version="3" rows="2" columns="3">
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<features tabularvalignment="middle">
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<column alignment="center" valignment="top">
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<column alignment="center" valignment="top">
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<column alignment="center" valignment="middle">
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<row>
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<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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f
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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gl
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" bottomline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\end_layout
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\end_inset
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</cell>
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</row>
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<row>
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<cell alignment="center" valignment="top" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\end_layout
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\end_inset
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</cell>
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|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
f
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
f
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
</lyxtabular>
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset Formula $\Diagram{f & gl\\
|
|
& f & f
|
|
}
|
|
$
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
<row>
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\backslash
|
|
momentum{ch}{text}
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\noindent
|
|
\align left
|
|
particle-momentum specification
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset Formula $\backslash\mathrm{momentum}\{fA\}\{\vec{p\}}$
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset Formula $\Diagram{\momentum{fA}{\vec{p}}}
|
|
$
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
<row>
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\backslash
|
|
vertexlabel{p}{text}
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\noindent
|
|
\align left
|
|
the vertex label
|
|
\emph on
|
|
p
|
|
\emph default
|
|
is either '^' or '_' for labeling above or below the vertex
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset Tabular
|
|
<lyxtabular version="3" rows="2" columns="1">
|
|
<features tabularvalignment="middle">
|
|
<column alignment="center" valignment="top">
|
|
<row>
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset Formula $\backslash\mathrm{vertexlabel}^{e^{+}}fA$
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
<row>
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset Formula $fglS\backslash\mathrm{vertexlabel}_{\gamma}$
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
</lyxtabular>
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\begin_layout Plain Layout
|
|
\begin_inset Formula $\Diagram{\vertexlabel^{\mathrm{e^{+}}}fA\\
|
|
fglS\vertexlabel_{\gamma}
|
|
}
|
|
$
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
</lyxtabular>
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
These are just some of the features of thepackage
|
|
\series bold
|
|
feyn
|
|
\series default
|
|
whose user manual can be found in
|
|
\begin_inset CommandInset citation
|
|
LatexCommand cite
|
|
key "Feyn"
|
|
literal "true"
|
|
|
|
\end_inset
|
|
|
|
.
|
|
\end_layout
|
|
|
|
\begin_layout Standard
|
|
\begin_inset Note Greyedout
|
|
status open
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
\series bold
|
|
Note:
|
|
\series default
|
|
If you have an index list in your document and use one of the AMS theorem
|
|
modules, you have to add the option
|
|
\series bold
|
|
noglobalbang
|
|
\series default
|
|
to the document class options in the document settings.
|
|
This enables the usage of the '!' character in index entries (necessary
|
|
for subentries) but might cause troubles with the align environments (which
|
|
are described in section
|
|
\begin_inset Quotes eld
|
|
\end_inset
|
|
|
|
Align Environments
|
|
\begin_inset Quotes erd
|
|
\end_inset
|
|
|
|
of \SpecialChar LyX
|
|
's Math manual).
|
|
\end_layout
|
|
|
|
\end_inset
|
|
|
|
|
|
\end_layout
|
|
|
|
\begin_layout Bibliography
|
|
\begin_inset CommandInset bibitem
|
|
LatexCommand bibitem
|
|
key "Feyn"
|
|
literal "true"
|
|
|
|
\end_inset
|
|
|
|
|
|
\begin_inset CommandInset href
|
|
LatexCommand href
|
|
name "Documentation"
|
|
target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
|
|
literal "false"
|
|
|
|
\end_inset
|
|
|
|
of the \SpecialChar LaTeX
|
|
package
|
|
\series bold
|
|
feyn
|
|
\end_layout
|
|
|
|
\end_body
|
|
\end_document
|