2011-06-14 16:32:44 +00:00
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#LyX 2.0 created this file. For more info see http://www.lyx.org/
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\lyxformat 413
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2010-09-21 02:18:36 +00:00
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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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2011-06-14 16:32:44 +00:00
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\pdf_title "Feynman Diagrams"
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2010-09-21 02:53:03 +00:00
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\pdf_author "LyX Team, Uwe Stöhr, Ronen Abravanel"
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2010-11-09 02:15:20 +00:00
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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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To be able to use
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\noun on
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Feynman
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\noun default
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diagrams, the LaTeX-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 Feynman 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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particles
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or
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propagators
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, for example:
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Example
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Result
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f,g,h
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fermion, photon or ghost propagator.
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f
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g
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h
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$
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fu,fd,fv (gu,gd,gv)
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fermion/photon, going up/down/vertical
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fd
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gu
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fv
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& fv
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$
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
\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" width="0">
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="middle" width="0">
|
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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>
|
|
|
|
<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
|
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|
|
</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 tabularvalignment="middle">
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
<column alignment="center" valignment="middle" width="0">
|
|
|
|
<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
|
2010-11-07 16:45:59 +00:00
|
|
|
A vertex label
|
2010-09-21 02:18:36 +00:00
|
|
|
\emph on
|
|
|
|
p
|
|
|
|
\emph default
|
|
|
|
is ^ or _ for labeling above or below 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" width="0">
|
|
|
|
<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 options in the
|
|
|
|
\series bold
|
|
|
|
feyn
|
|
|
|
\series default
|
|
|
|
package.
|
|
|
|
Its user manual can be found in
|
|
|
|
\begin_inset CommandInset citation
|
|
|
|
LatexCommand cite
|
|
|
|
key "Feyn"
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
.
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\begin_layout Bibliography
|
|
|
|
\labelwidthstring References
|
|
|
|
\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 LaTeX-Package
|
|
|
|
\series bold
|
|
|
|
feyn
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
\end_body
|
|
|
|
\end_document
|