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791 lines
16 KiB
Plaintext
#LyX 2.0 created this file. For more info see http://www.lyx.org/
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\lyxformat 413
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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{ifpdf}
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% wird benutzt, um Tabellenzellen zu vergrosern
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\pdf_title "Feynman Diagrams"
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\pdf_author "LyX Team, Uwe Stohr, Ronen Abravanel"
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ファインマン図
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ファインマン図(
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\noun on
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Feynman
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diagram)を利用するためには、LaTeXパッケージ
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feyn
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を導入しておく必要があります。ファインマン図は、数式中にコマンド
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\backslash
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Diagram
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を挿入することで作ることができます。すると、新しい行列を通常の行列と同じようにして作ることができます。
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\begin_layout Standard
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以下に示すように、「分子」や「伝搬関数」として振る舞うコマンドを、行列の項目として入力することができます。
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フェルミ粒子・光子・ ゴースト伝搬関数
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f
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g
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$
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fu,fd,fv (gu,gd,gv)
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fd
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gu
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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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fv
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\end_layout
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& fv
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}
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$
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fA,fV
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\noindent
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AおよびVは、左ないし上向きの矢印や、右ないし下向きの矢印を生成する修飾子
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<features tabularvalignment="middle">
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fdA
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<cell alignment="center" valignment="top" bottomline="true" usebox="none">
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fuV
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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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||
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gvV
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||
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\begin_inset Text
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||
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||
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& gvV
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}
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$
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||
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||
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|
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fl,glB,glS,fl1,gl2など
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||
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||
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||
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||
\begin_inset Text
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||
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||
\begin_layout Plain Layout
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||
\noindent
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||
\align left
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フェルミ粒子ループ・光子ループ
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\end_layout
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||
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||
\end_inset
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||
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||
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<column alignment="center" valignment="top" width="0">
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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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||
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||
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
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\begin_layout Plain Layout
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gl
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||
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|
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||
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||
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||
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||
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
||
\begin_inset Text
|
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|
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\begin_layout Plain Layout
|
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|
||
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|
||
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||
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|
||
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
||
\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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||
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||
\end_inset
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||
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||
<cell alignment="center" valignment="top" usebox="none">
|
||
\begin_inset Text
|
||
|
||
\begin_layout Plain Layout
|
||
f
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||
\end_layout
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||
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||
\end_inset
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||
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||
</row>
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||
</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}{文字列}
|
||
\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
|
||
分子運動量の指定
|
||
\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}{文字列}
|
||
\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
|
||
頂点ラベル(vertex label)。頂点の上にラベルを付けるときは
|
||
\emph on
|
||
p
|
||
\emph default
|
||
は^、下に付けるときは_
|
||
\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
|
||
これらは、
|
||
\series bold
|
||
feyn
|
||
\series default
|
||
パッケージのオプションの一部に過ぎません。ユーザーの手引きは
|
||
\begin_inset CommandInset citation
|
||
LatexCommand cite
|
||
key "Feyn"
|
||
|
||
\end_inset
|
||
|
||
にあります。
|
||
\end_layout
|
||
|
||
\begin_layout Bibliography
|
||
\begin_inset CommandInset bibitem
|
||
LatexCommand bibitem
|
||
key "Feyn"
|
||
|
||
\end_inset
|
||
|
||
LaTeXパッケージ
|
||
\series bold
|
||
feyn
|
||
\series default
|
||
の
|
||
\begin_inset CommandInset href
|
||
LatexCommand href
|
||
name "取扱説明書"
|
||
target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
|
||
|
||
\end_inset
|
||
|
||
|
||
\end_layout
|
||
|
||
\end_body
|
||
\end_document
|