#LyX 2.2 created this file. For more info see http://www.lyx.org/ \lyxformat 504 \begin_document \begin_header \save_transient_properties true \origin /systemlyxdir/examples/ \textclass scrartcl \begin_preamble % DO NOT ALTER THIS PREAMBLE!!! % % This preamble is designed to ensure that the file prints % out as advertised. If you mess with this preamble, % parts of this document may not print out as expected. If you % have problems LaTeXing this file, please contact % the documentation team % email: lyx-docs@lists.lyx.org % if pdflatex is used \usepackage{ifpdf} \ifpdf % set fonts for nicer pdf view \IfFileExists{lmodern.sty} {\usepackage{lmodern}}{} \fi % end if pdflatex is used % used to have extra space in table cells \@ifundefined{extrarowheight} {\usepackage{array}}{} \setlength{\extrarowheight}{5pt} \end_preamble \use_default_options true \maintain_unincluded_children false \language english \language_package default \inputencoding auto \fontencoding global \font_roman "default" "default" \font_sans "default" "default" \font_typewriter "default" "default" \font_math "auto" "auto" \font_default_family default \use_non_tex_fonts false \font_sc false \font_osf false \font_sf_scale 100 100 \font_tt_scale 100 100 \graphics default \default_output_format default \output_sync 0 \bibtex_command default \index_command default \paperfontsize 12 \spacing single \use_hyperref true \pdf_title "Feynman Diagrams" \pdf_author "LyX Team, Uwe Stöhr, Ronen Abravanel" \pdf_bookmarks false \pdf_bookmarksnumbered false \pdf_bookmarksopen false \pdf_bookmarksopenlevel 1 \pdf_breaklinks false \pdf_pdfborder true \pdf_colorlinks false \pdf_backref false \pdf_pdfusetitle false \pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false" \papersize default \use_geometry false \use_package amsmath 1 \use_package amssymb 1 \use_package cancel 0 \use_package esint 1 \use_package mathdots 1 \use_package mathtools 0 \use_package mhchem 1 \use_package stackrel 0 \use_package stmaryrd 0 \use_package undertilde 0 \cite_engine basic \cite_engine_type default \biblio_style plain \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date true \justification true \use_refstyle 0 \notefontcolor #0000ff \index Index \shortcut idx \color #008000 \end_index \secnumdepth 3 \tocdepth 3 \paragraph_separation skip \defskip medskip \quotes_language english \papercolumns 1 \papersides 1 \paperpagestyle default \tracking_changes false \output_changes false \html_math_output 0 \html_css_as_file 0 \html_be_strict false \end_header \begin_body \begin_layout Title Feynman Diagrams \end_layout \begin_layout Standard \begin_inset Note Note status open \begin_layout Plain Layout authors: Uwe Stöhr and Ronen Abravanel \end_layout \end_inset \end_layout \begin_layout Standard To be able to create \noun on Feynman \noun default diagrams, the \SpecialCharNoPassThru LaTeX -package \series bold feyn \series default must be installed. A \noun on Feynman \noun default diagram is created by inserting the command \series bold \backslash Diagram \series default in a formula. Then you are able to add new matrix columns and rows like a normal matrices. \end_layout \begin_layout Standard As matrix entry, one can enter commands that act as \begin_inset Quotes eld \end_inset particles \begin_inset Quotes erd \end_inset or \begin_inset Quotes eld \end_inset propagators \begin_inset Quotes erd \end_inset , for example: \begin_inset Separator parbreak \end_inset \end_layout \begin_layout Standard \align center \begin_inset Tabular <lyxtabular version="3" rows="7" columns="4"> <features rotate="0" booktabs="true" tabularvalignment="middle"> <column alignment="center" valignment="middle" width="28col%"> <column alignment="center" valignment="middle" width="20col%"> <column alignment="center" valignment="middle" width="25col%"> <column alignment="center" valignment="middle" width="20col%"> <row> <cell alignment="center" valignment="top" topline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout Commands \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout Description \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout Example \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 Result \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 f,g,h \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 fermion, photon or ghost propagator \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 Tabular <lyxtabular version="3" rows="1" columns="3"> <features rotate="0" tabularvalignment="middle"> <column alignment="center" valignment="top"> <column alignment="center" valignment="top"> <column alignment="center" valignment="top"> <row> <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" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout g \end_layout \end_inset </cell> <cell alignment="center" valignment="top" usebox="none"> \begin_inset Text \begin_layout Plain Layout h \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 & g & h} $ \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 fu,fd,fv (gu,gd,gv) \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 fermion/photon, going up/down/vertical \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 Tabular <lyxtabular version="3" rows="2" columns="3"> <features rotate="0" tabularvalignment="middle"> <column alignment="center" valignment="top"> <column alignment="center" valignment="top"> <column alignment="center" valignment="middle"> <row> <cell alignment="center" valignment="top" usebox="none"> \begin_inset Text \begin_layout Plain Layout fd \end_layout \end_inset </cell> <cell alignment="center" valignment="top" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \end_layout \end_inset </cell> <cell alignment="center" valignment="top" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout gu \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" topline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout fv \end_layout \end_inset </cell> <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \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{fd & & gu\\ & fv } $ \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 fA,fV \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 A and V are modifiers to produce arrow going left/up or right/down \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 Tabular <lyxtabular version="3" rows="2" columns="3"> <features rotate="0" tabularvalignment="middle"> <column alignment="center" valignment="top"> <column alignment="center" valignment="top"> <column alignment="center" valignment="middle"> <row> <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout fdA \end_layout \end_inset </cell> <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \end_layout \end_inset </cell> <cell alignment="center" valignment="top" bottomline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout fuV \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \end_layout \end_inset </cell> <cell alignment="center" valignment="top" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout gvV \end_layout \end_inset </cell> <cell alignment="center" valignment="top" usebox="none"> \begin_inset Text \begin_layout Plain Layout \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{fdA & & fuV\\ & gvV } $ \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 fl,glB,glS,fl1,gl2, etc. \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 fermions/photons loop \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 Tabular <lyxtabular version="3" rows="2" columns="3"> <features rotate="0" tabularvalignment="middle"> <column alignment="center" valignment="top"> <column alignment="center" valignment="top"> <column alignment="center" valignment="middle"> <row> <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout f \end_layout \end_inset </cell> <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout gl \end_layout \end_inset </cell> <cell alignment="center" valignment="top" bottomline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \end_layout \end_inset </cell> </row> <row> <cell alignment="center" valignment="top" rightline="true" usebox="none"> \begin_inset Text \begin_layout Plain Layout \end_layout \end_inset </cell> <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 $\backslash{\rm momentum}\{fA\}\{\vec{p\}}$ \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 rotate="0" 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 $\backslash{\rm vertexlabel}^{e^{+}}fA$ \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 $fglS\backslash{\rm vertexlabel}_{\gamma}$ \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^{{\rm 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" \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 \SpecialCharNoPassThru LyX 's Math manual). \end_layout \end_inset \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "Feyn" \end_inset \begin_inset CommandInset href LatexCommand href name "Documentation" target "http://mirror.ctan.org/fonts/feyn/feyn.pdf" \end_inset of the \SpecialCharNoPassThru LaTeX package \series bold feyn \end_layout \end_body \end_document