<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%\iffalse
%&lt;*package&gt;
%%
%% ----
%%
%% This program is free software; you can redistribute it and/or modify
%% it under the terms of the GNU General Public License as published by
%% the Free Software Foundation; either version 2 of the License, or
%% (at your option) any later version.
%%
%% This program is distributed in the hope that it will be useful,
%% but WITHOUT ANY WARRANTY; without even the implied warranty of
%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
%% GNU General Public License for more details.
%%
%% You should have received a copy of the GNU General Public License
%% along with this program; if not, write to the Free Software
%% Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
%% MA 02110-1301 USA
%%
%% This work consists of the files simplewick.dtx and simplewick.ins
%% and the derived file simplewick.sty.
%%
%% ----
%%
%% Original implementation of "contraction" adopted from thophys.sty by
%% Thorsten Ohl. Contractions below expressions ("bcontraction") and
%% stretching/shrinking fix "nomathglue" by Jindrich Kolorenc.
%%
%% ----
%%
%% \CharacterTable
%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%%   Digits        \0\1\2\3\4\5\6\7\8\9
%%   Exclamation   \!     Double quote  \"     Hash (number) \#
%%   Dollar        \$     Percent       \%     Ampersand     \&amp;
%%   Acute accent  \'     Left paren    \(     Right paren   \)
%%   Asterisk      \*     Plus          \+     Comma         \,
%%   Minus         \-     Point         \.     Solidus       \/
%%   Colon         \:     Semicolon     \;     Less than     \&lt;
%%   Equals        \=     Greater than  \&gt;     Question mark \?
%%   Commercial at \@     Left bracket  \[     Backslash     \\
%%   Right bracket \]     Circumflex    \^     Underscore    \_
%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
%%   Right brace   \}     Tilde         \~}
%&lt;/package&gt;
%\fi
% \iffalse
% Doc-Source file to use with LaTeX2e
% \fi
% \iffalse
%&lt;*driver&gt;
\documentclass[11pt]{ltxdoc}
\usepackage{simplewick}

\CheckSum{171}
\changes{1.1}{2006/10/29}{First packed version}
\changes{1.2}{2007/08/09}{Improved spacing to cooperate better with operators (such as \cdot)}
\changes{1.2a}{2007/11/23}{License clarification}

\def\framed#1{
\hbox{\vrule width .02em\vbox{\hrule height .02em\vskip .5ex
\hbox{\hskip .5ex\vbox{\hbox{#1}}\hskip .5ex}
\vskip .5ex\hrule height .02em}\vrule width .02em}
}

\begin{document}
\DocInput{simplewick.dtx}
\end{document}
%&lt;/driver&gt;
%\fi
%
%\title{Wick contractions in \LaTeX\ with |simplewick.sty|}
%\author{Jind\v rich Koloren\v c}
%\date{2006/10/29}
%\maketitle
%
%\noindent
%This is a manual accompanying the style file |simplewick.sty|
%providing macros |\acontraction| and |\bcontraction| to draw Wick
%contractions above and below expressions, respectively. The
%functionality is best illustrated by an example,
%$$
%\contraction{}{a}{{}^{\dagger}_i(t_1)a^{\dagger}_j(t_1)}{a}
%\relax%
%\contraction[2ex]{a^{\dagger}_i(t_1)}{a}{%
%{}^{\dagger}_j(t_1)a_j(t_1)a_i(t_1)%
%a^{\dagger}_i(t_2)a^{\dagger}_j(t_2)a_j(t_2)}{a}
%\relax%
%\contraction[3ex]{a^{\dagger}_i(t_1)%
%a^{\dagger}_j(t_1)a_j(t_1)}{a}{{}_i(t_1)%
%a^{\dagger}_i(t_2)}{a}
%\relax%
%\bcontraction{a^{\dagger}_i(t_1)%
%a^{\dagger}_j(t_1)a_j(t_1)a_i(t_1)}%
%{a}{{}^{\dagger}_i(t_2)a^{\dagger}_j(t_2)}{a}
%\relax%
%a^{\dagger}_i(t_1)a^{\dagger}_j(t_1)a_j(t_1)a_i(t_1)
%a^{\dagger}_i(t_2)a^{\dagger}_j(t_2)a_j(t_2)a_i(t_2)\,.
%$$
%
%\section{Usage}
%The syntax will be explained on something simpler, however. The
%sequence
%\begin{verbatim}
%$$
%\contraction{}{A}{B}{C}
%\contraction[2ex]{A}{B}{C}{D}
%ABCD
%$$
%\end{verbatim}
%renders as
%$$
%\contraction{}{A}{B}{C}
%\contraction[2ex]{A}{B}{C}{D}
%ABCD\,.
%$$
%The parameters of the macro |\contraction[]{}{}{}{}| (which is a
%synonym for |\acontraction[]{}{}{}{}|) are as follows.
%\newbox\listlabelbox
%\begin{list}{$\triangleright$}{
%  \setlength{\topsep}{.6em}
%  \setlength{\itemsep}{.5ex}
%  \setlength{\parsep}{0pt}
%  \setbox\listlabelbox=\hbox{$\triangleright$}
%  \setlength{\labelwidth}{\wd\listlabelbox}
%  \setlength{\leftmargin}{1.5\parindent}
%}
%\item The first (optional) argument is the height of the
%contraction. When omitted (as in the first contraction above) it
%defaults to 1ex,
%\item the second argument contains the expression that lies before the
%contraction start,
%\item the third argument contains the expression, above which the
%start of the contraction is centered,
%\item the fourth argument is the
%part of the formula that is bridged by the contraction, and finally
%\item the contraction ends above the center of the last argument of
%the macro.
%\end{list}
%Note that the macro itself typesets only the contraction alone and rewinds
%back to allow for multiple contractions. Therefore, the expression to
%appear below the contraction(s) has to be repeated once more when you
%are finished with contractions themselves.
%
%I guess now it is the right time to move to that ``real life'' example
%from the beginning of this manual. Its source is
%\begin{verbatim}
%$$
%\contraction{}{a}{{}^{\dagger}_i(t_1)a^{\dagger}_j(t_1)}{a}
%%
%\contraction[2ex]{a^{\dagger}_i(t_1)}{a}{%
%{}^{\dagger}_j(t_1)a_j(t_1)a_i(t_1)%
%a^{\dagger}_i(t_2)a^{\dagger}_j(t_2)a_j(t_2)}{a}
%%
%\contraction[3ex]{a^{\dagger}_i(t_1)%
%a^{\dagger}_j(t_1)a_j(t_1)}{a}{{}_i(t_1)%
%a^{\dagger}_i(t_2)}{a}
%%
%\bcontraction{a^{\dagger}_i(t_1)%
%a^{\dagger}_j(t_1)a_j(t_1)a_i(t_1)}%
%{a}{{}^{\dagger}_i(t_2)a^{\dagger}_j(t_2)}{a}
%%
%a^{\dagger}_i(t_1)a^{\dagger}_j(t_1)a_j(t_1)a_i(t_1)
%a^{\dagger}_i(t_2)a^{\dagger}_j(t_2)a_j(t_2)a_i(t_2)\,.
%$$
%\end{verbatim}
%
%
%\section{Contractions inside the text --- stretching and shrinking}
%The macro |\contraction| is prone to giving not entirely satisfactory
%results when the formula is under stress or tension, i.e., when \TeX\
%shrinks or stretches ``the glue'' from its natural width. When we try
%to squeeze the line
%\begin{verbatim}
%Contraction under stress
%$
%\contraction{}{\bar G}{{}_1(\mathbf{q}_1)\&gt;\&gt;{}}{\bar G}
%  \bar G_1(\mathbf{q}_1)\&gt;\&gt;{}\bar G_2(\mathbf{q}_2)
%=\bar\chi_{12}(\mathbf{q}_1-\mathbf{q}_2)
%$
%and with no stress
%$
%\contraction{}{\bar G}{{}_1(\mathbf{q}_1)\&gt;\&gt;{}}{\bar G}
%  \bar G_1(\mathbf{q}_1)\&gt;\&gt;{}\bar G_2(\mathbf{q}_2)
%=\bar\chi_{12}(\mathbf{q}_1-\mathbf{q}_2)
%$.
%\end{verbatim}
%into a narrow box, we get
%\vskip 1em
%\noindent
%\hbox to \textwidth{\hfil%
%\framed{%
%\vbox{\hsize=23.75em
%\noindent
%Contraction under stress
%$
%\contraction{}{\bar G}{{}_1(\mathbf{q}_1)\&gt;\&gt;{}}{\bar G}
%  \bar G_1(\mathbf{q}_1)\&gt;\&gt;{}\bar G_2(\mathbf{q}_2)
%=\bar\chi_{12}(\mathbf{q}_1-\mathbf{q}_2)
%$
%and with no stress
%$
%\contraction{}{\bar G}{{}_1(\mathbf{q}_1)\&gt;\&gt;{}}{\bar G}
%  \bar G_1(\mathbf{q}_1)\&gt;\&gt;{}\bar G_2(\mathbf{q}_2)
%=\bar\chi_{12}(\mathbf{q}_1-\mathbf{q}_2)
%$.
%}}\hfil}
%\vskip 1em
%\noindent
%This is not quite right since the contraction drawn on the first line
%is slightly too long, although its length is precisely the same as
%the length of the contraction on the second line --- they were entered
%via the same piece of code, after all. The style
%|simplewick.sty| offers a fix for this inconsistency in the form of
%the macro |\nomathglue{}| that prevents \TeX\ to shrink or stretch its
%argument. When used
%\begin{verbatim}
%Contraction under stress
%$
%\contraction{}{\bar G}{{}_1(\mathbf{q}_1)\&gt;\&gt;{}}{\bar G}
%  \nomathglue{%
%     \bar G_1(\mathbf{q}_1)\&gt;\&gt;{}\bar G_2(\mathbf{q}_2)}
%=\bar\chi_{12}(\mathbf{q}_1-\mathbf{q}_2)
%$
%and with no stress
%$
%\contraction{}{\bar G}{{}_1(\mathbf{q}_1)\&gt;\&gt;{}}{\bar G}
%  \bar G_1(\mathbf{q}_1)\&gt;\&gt;{}\bar G_2(\mathbf{q}_2)
%=\bar\chi_{12}(\mathbf{q}_1-\mathbf{q}_2)
%$.
%\end{verbatim}
%the outcome should look precisely as we wanted.
%\vskip 1em
%\noindent
%\hbox to \textwidth{\hfil%
%\framed{%
%\vbox{\hsize=23.75em
%\noindent
%Contraction under stress
%$
%\contraction{}{\bar G}{{}_1(\mathbf{q}_1)\&gt;\&gt;{}}{\bar G}
%  \nomathglue{\bar G_1(\mathbf{q}_1)\&gt;\&gt;{}\bar G_2(\mathbf{q}_2)}
%=\bar\chi_{12}(\mathbf{q}_1-\mathbf{q}_2)
%$
%and with no stress
%$
%\contraction{}{\bar G}{{}_1(\mathbf{q}_1)\&gt;\&gt;{}}{\bar G}
%  \bar G_1(\mathbf{q}_1)\&gt;\&gt;{}\bar G_2(\mathbf{q}_2)
%=\bar\chi_{12}(\mathbf{q}_1-\mathbf{q}_2)
%$.
%}}\hfil}
%
%
%\section{Alternatives}
%An alternative method for typesetting Wick contractions with \LaTeX\ is a
%|wick.sty| by Taichiro Kugo, available at
%\begin{verbatim}
%http://www2.yukawa.kyoto-u.ac.jp/~kugo/index-e.html
%\end{verbatim}
%It is actually a more advanced solution than the one presented
%here (which is the reason why I call this package
%|simplewick|). Unfortunately, |wick.sty| seems to be somewhat
%conflicting with |amsmath| package. For example, I did not succeed to
%draw the |wick.sty| contractions above accented characters (such as
%those in the stretching examples above) when |amsmath| was
%loaded. Without |amsmath| it was just fine, however.
%
%
%\section{Credits}
%The package |simplewick.sty| is based on the code from |thophys.sty|
%by Thorsten Ohl that dates back to 1994. I only added the contractions
%below expressions (|\bcontraction|), the stretching/shrinking fix
%|\nomathglue| and this documentation. Contact information can be
%obtained by issuing a command |\simplewickcontact|.
%
%
%
%
%
%\StopEventually{}
%\section{The Code}
%    \begin{macrocode}
%&lt;*simplewick.sty&gt;
%    \end{macrocode}
%    \begin{macrocode}

\def\fileversion{v1.2a}
\def\filedate{2007/11/23}
\ProvidesPackage{simplewick}[\filedate\space\fileversion]
\typeout{Package: simplewick \fileversion\space (\filedate)}

\makeatletter

% ----
% definition of several boxes we will use
% ----
\newbox\swb@xone
\newbox\swb@xtwo
\newbox\swb@xthree
\newbox\swb@xfour
\newdimen\swdimen@ne
\newdimen\swdimentw@

% ----
% contraction above the expression
% ----
\newcommand{\acontraction}[5][1ex]{%
  \mathchoice
    {\acontraction@\displaystyle{#2}{#3}{#4}{#5}{#1}}%
    {\acontraction@\textstyle{#2}{#3}{#4}{#5}{#1}}%
    {\acontraction@\scriptstyle{#2}{#3}{#4}{#5}{#1}}%
    {\acontraction@\scriptscriptstyle{#2}{#3}{#4}{#5}{#1}}}%
\newcommand{\acontraction@}[6]{%
  \setbox\swb@xone=\hbox{${}#1{}#2{}$}%
  \setbox\swb@xtwo=\hbox{${}#1{}#3{}$}%
  \setbox\swb@xthree=\hbox{${}#1{}#4{}$}%
  \setbox\swb@xfour=\hbox{${}#1{}#5{}$}%
  \swdimen@ne=\wd\swb@xtwo%
  \advance\swdimen@ne by \wd\swb@xfour%
  \divide\swdimen@ne by 2%
  \advance\swdimen@ne by \wd\swb@xthree%
  \vbox{%
    \hbox to 0pt{%
      \kern \wd\swb@xone%
      \kern 0.5\wd\swb@xtwo%
      \acontraction@@{\swdimen@ne}{#6}%
      \hss}%
    \vskip 0.5ex%  how far above the line starts
    \vskip\ht\swb@xtwo}}
\newcommand{\acontracted}[5][1ex]{%
  \acontraction[#1]{#2}{#3}{#4}{#5}\ensuremath{#2#3#4#5}}
\newcommand{\acontraction@@}[3][0.05em]{%
% the 1st parameter (explicitly inserted) is the width
% of the contraction line
  \hbox{%
    \vrule width #1 height 0pt depth #3%
    \vrule width #2 height 0pt depth #1%
    \vrule width #1 height 0pt depth #3%
    \relax}}
% compatibility with the previous version
\let\contraction\acontraction

% ----
% contraction below the expression
% ----
\newcommand{\bcontraction}[5][1ex]{%
  \mathchoice
    {\bcontraction@\displaystyle{#2}{#3}{#4}{#5}{#1}}%
    {\bcontraction@\textstyle{#2}{#3}{#4}{#5}{#1}}%
    {\bcontraction@\scriptstyle{#2}{#3}{#4}{#5}{#1}}%
    {\bcontraction@\scriptscriptstyle{#2}{#3}{#4}{#5}{#1}}}%
\newcommand{\bcontraction@}[6]{%
  \setbox\swb@xone=\hbox{${}#1{}#2{}$}%
  \setbox\swb@xtwo=\hbox{${}#1{}#3{}$}%
  \setbox\swb@xthree=\hbox{${}#1{}#4{}$}%
  \setbox\swb@xfour=\hbox{${}#1{}#5{}$}%
  \swdimen@ne=\wd\swb@xtwo%
  \advance\swdimen@ne by \wd\swb@xfour%
  \divide\swdimen@ne by 2%
  \advance\swdimen@ne by \wd\swb@xthree%
  \lower 0.5ex \vbox{%
    \hbox to 0pt{%
      \kern \wd\swb@xone%
      \kern 0.5\wd\swb@xtwo%
      \bcontraction@@{\swdimen@ne}{#6}%
      \hss}%
    }}
\newcommand{\bcontracted}[5][1ex]{%
  \bcontraction[#1]{#2}{#3}{#4}{#5}\ensuremath{#2#3#4#5}}
\newcommand{\bcontraction@@}[3][0.05em]{%
% the 1st parameter (explicitly inserted) is the width
% of the contraction line
  \hbox{%
    \swdimentw@=#3
    \advance\swdimentw@ by -#1
    \vrule width #1 height 0pt depth #3%
    \lower\swdimentw@\hbox{\vrule width #2 height 0pt depth #1}%
    \vrule width #1 height 0pt depth #3%
    \relax}}

\makeatother

% ----
% macro to switch off shrinking/stretching in mathmode
% (consult TeXbook, page 168, to see where the numbers came from)
% ----
\newcommand\nomathglue[1]{
\begingroup
\thinmuskip=3mu \medmuskip=4mu \thickmuskip=5mu
#1
\endgroup
}

% ----
% obfuscated contact info
% ----
\newcommand\simplewickcontact{%
{\tt {k}{o}{l}{o}{r}{e}{n}{c}{\tt @}{f}{z}{u}{.}{c}{z}}%
}

%    \end{macrocode}
%    \begin{macrocode}
%&lt;/simplewick.sty&gt;
%    \end{macrocode}
%\Finale
\endinput
</pre></body></html>