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plaquette.tex
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% Copyright © 2017-2018 Martin Ueding <martin-ueding.de>
% Licensed under CC-BY 4.0
\documentclass{scrartcl}
\pagestyle{empty}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{calc}
\usetikzlibrary{positioning}
\usetikzlibrary{decorations}
\usetikzlibrary{decorations.markings}
\colorlet{mygray1}{black!10}
\colorlet{mygray2}{black!20}
\begin{document}
\tikzset{
gauge link/.style={
%thick,
},
link arrow/.style={
decoration={
markings,
mark=at position 0.1 with {\arrow{Straight Barb}},
},
postaction={decorate},
},
link arrow midway/.style={
decoration={
markings,
mark=at position 0.5 with {\arrow{Straight Barb}},
},
postaction={decorate},
},
gauge link arrow/.style={
gauge link,
link arrow midway,
},
lattice point/.style={
draw,
fill,
circle,
minimum size=1.7mm,
inner sep=0,
},
}
\begin{tikzpicture}
\node[lattice point] (n) at (0, 0) {};
\node[lattice point] (n-mu) at (30mm, 0) {};
\node[lattice point] (n-nu) at (0, 30mm) {};
\node[lattice point] (n-mu-nu) at (30mm, 30mm) {};
\node[below left=0.5mm of n] {$\vec n$};
\node[below right=0.5mm of n-mu] {$\vec n + \mu$};
\node[above left=0.5mm of n-nu] {$\vec n + \nu$};
\node[above right=0.5mm of n-mu-nu] {$\vec n + \mu + \nu$};
\draw[gauge link] (n) -- ++(-4mm, 0);
\draw[gauge link] (n) -- ++(0, 4mm);
\draw[gauge link] (n) -- ++(0, -4mm);
\draw[gauge link] (n-mu) -- ++(4mm, 0);
\draw[gauge link] (n-mu) -- ++(0, 4mm);
\draw[gauge link] (n-mu) -- ++(0, -4mm);
\draw[gauge link] (n-nu) -- ++(-4mm, 0);
\draw[gauge link] (n-nu) -- ++(0, 4mm);
\draw[gauge link] (n-mu-nu) -- ++(4mm, 0);
\draw[gauge link] (n-mu-nu) -- ++(0, 4mm);
\draw[gauge link arrow] (n) -- (n-mu) node[below, midway] {$ U_\mu(n)$};
\draw[gauge link arrow] (n) -- (n-nu) node[left, midway] {$ U_\nu(n)$};
\draw[gauge link arrow] (n-mu) -- (n-mu-nu) node[right, midway] {$ U_\nu(n +
\mu)$};
\draw[gauge link arrow] (n-nu) -- (n-mu-nu) node[above, midway] {$ U_\mu(n +
\nu)$};
\newcommand\cloverlink{
\draw[link arrow, thick] (1.5, 0.3) .. controls (2.7, 0.3) and (2.7, 0.3) ..
(2.7, 1.5);
}
\cloverlink
\begin{scope}[transform canvas={rotate around={90:(1.5, 1.5)}}]
\cloverlink
\end{scope}
\begin{scope}[transform canvas={rotate around={180:(1.5, 1.5)}}]
\cloverlink
\end{scope}
\begin{scope}[transform canvas={rotate around={270:(1.5, 1.5)}}]
\cloverlink
\end{scope}
\node at (1.5, 1.5) {$ P_{\mu\nu}(\vec n)$};
\end{tikzpicture}
\end{document}