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\pdf_title "Feynman Diagrams"
\pdf_author "LyX Team, Uwe Stöhr, Ronen Abravanel"
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\begin_body

\begin_layout Title
Feynman Diagrams
\end_layout

\begin_layout Standard
To be able to use 
\noun on
Feynman
\noun default
 diagrams, the LaTeX-package 
\series bold
feyn
\series default
 must be installed.
 A Feynman 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:
\end_layout

\begin_layout Standard
\align center
\begin_inset Tabular
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\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>
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<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>
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\begin_inset Text

\begin_layout Plain Layout
\begin_inset Tabular
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<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
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\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>
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\begin_inset Text

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fu,fd,fv (gu,gd,gv)
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\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
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<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="middle" width="0">
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<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
fd
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\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
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<cell alignment="center" valignment="top" leftline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
gu
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fv
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\begin_inset Text

\begin_layout Plain Layout

\end_layout

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</cell>
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</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

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</cell>
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\begin_inset Text

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fA,fV
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\begin_inset Text

\begin_layout Plain Layout
\noindent
\align left
A and V are modifiers to produce arrow going left/up or right/down
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fuV
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gvV
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\begin_inset Text

\begin_layout Plain Layout

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\end_inset
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\begin_inset Text

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\begin_inset Formula $\Diagram{fdA &  & fuV\\
 & gvV
}
$
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</cell>
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fl,glB,glS,fl1,gl2, etc.
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\begin_inset Text

\begin_layout Plain Layout
\noindent
\align left
fermions/photons loop
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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
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<features tabularvalignment="middle">
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<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
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\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
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\begin_inset Text

\begin_layout Plain Layout

\end_layout

\end_inset
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<cell alignment="center" valignment="top" rightline="true" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
f
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\end_inset
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<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text

\begin_layout Plain Layout
f
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\end_inset
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\end_inset


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</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>
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<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
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\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>
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<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
A vertex label 
\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
