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two-point-propagator-flow.tex
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\documentclass[tikz]{standalone}
\usetikzlibrary{patterns,decorations.markings}
\tikzset{
cross/.style={fill=white,path picture={\draw[black] (path picture bounding box.south east) -- (path picture bounding box.north west) (path picture bounding box.south west) -- (path picture bounding box.north east);}},
dressed/.style={fill=white,postaction={pattern=north east lines}},
momentum/.style 2 args={->,semithick,yshift=5pt,shorten >=5pt,shorten <=5pt},
loop/.style 2 args={thick,decoration={markings,mark=at position {#1} with {\arrow{>},\node[anchor=\pgfdecoratedangle-90,font=\footnotesize] {$p_{#2}$};}},postaction={decorate}},
label/.style={thin,gray,shorten <=-1.5ex}
}
\def\lrad{5/4}
\def\mrad{0.15*\lrad}
\def\srad{0.1*\lrad}
\begin{document}
% Diagram 1
\begin{tikzpicture}
% Loop
\draw[loop/.list={{0.0625}{6},{0.0625*3}{1},{0.0625*5}{2},{0.0625*7}{3},{0.0625*10}{4},{0.0625*14}{5}}] (0,0) circle (\lrad);
\draw[cross] (0,\lrad) circle (\srad) node[above=5pt] {$\partial_k R_{k,ij}(p_1,p_2)$};
\draw[dressed] (135:\lrad) circle (\srad) node[above left] {$G_{k,jk}(p_2,p_3)$};
\draw[dressed] (45:\lrad) circle (\srad) node[above right] {$G_{k,ni}(p_6,p_1)$};
\draw[dressed] (0,-\lrad) circle (\srad) node[below=3pt] {$G_{k,lm}(p_4,p_5)$};
% External lines
\draw (-2*\lrad,0) coordinate (xl) -- (-\lrad,0) node[pos=0.4,below] {$\varphi_a$};
\draw[momentum] (-2*\lrad,0) -- (-1.25*\lrad,0) node[midway,above] {$q_1$};
\draw (\lrad,0) -- (2*\lrad,0) coordinate (xr) node[pos=0.6,below] {$\varphi_b$};
\draw[momentum] (1.25*\lrad,0) -- (2*\lrad,0) node[midway,above] {$q_2$};
% Vertices
\node at (-1.6*\lrad,-\lrad) (Gkail) {$\Gamma_{k,akl}^{(3)}(q_1,p_3,-p_4)$};
\draw[label] (Gkail) -- (-\lrad,0);
\draw[dressed] (-\lrad,0) circle (\mrad);
\node at (2*\lrad,-\lrad) (Gkbde) {$\Gamma_{k,bmn}^{(3)}(-q_2,p_5,-p_6)$};
\draw[label] (Gkbde.150) -- (\lrad,0);
\draw[dressed] (\lrad,0) circle (\mrad);
\end{tikzpicture}
% Diagram 2
\begin{tikzpicture}
% Loop
\draw[loop/.list={{0.0625*2}{6},{0.0625*6}{3},{0.0625*9}{4},{0.0625*11}{1},{0.0625*13}{2},{0.0625*15}{5}}] (0,0) circle (\lrad);
\draw[cross] (0,-\lrad) circle (\srad) node[below=5pt] {$\partial_k R_{k,ij}(p_1,p_2)$};
\draw[dressed] (-45:\lrad) circle (\srad) node[below right] {$G_{k,jm}(p_2,p_5)$};
\draw[dressed] (-135:\lrad) circle (\srad) node[below left] {$G_{k,li}(p_4,p_1)$};
\draw[dressed] (0,\lrad) circle (\srad) node[above=3pt] {$G_{k,nk}(p_6,p_3)$};
% External lines
\draw (-2*\lrad,0) coordinate (xl) -- (-\lrad,0) node[pos=0.4,below] {$\varphi_a$};
\draw[momentum] (-2*\lrad,0) -- (-1.25*\lrad,0) node[midway,above] {$q_1$};
\draw (\lrad,0) -- (2*\lrad,0) coordinate (xr) node[pos=0.6,below] {$\varphi_b$};
\draw[momentum] (1.25*\lrad,0) -- (2*\lrad,0) node[midway,above] {$q_2$};
% Vertices
\node at (-1.8*\lrad,\lrad) (Gkail) {$\Gamma_{k,akl}^{(3)}(q_1,p_3,-p_4)$};
\draw[label] (Gkail) -- (-\lrad,0);
\draw[dressed] (-\lrad,0) circle (\mrad);
\node at (1.8*\lrad,\lrad) (Gkbde) {$\Gamma_{k,bmn}^{(3)}(-q_2,p_5,-p_6)$};
\draw[label] (Gkbde) -- (\lrad,0);
\draw[dressed] (\lrad,0) circle (\mrad);
\end{tikzpicture}
% Diagram 3
\begin{tikzpicture}
% Loop
\draw[loop/.list={{0.0625*2}{1},{0.0625*6}{2},{0.0625*10}{3},{0.0625*14}{4}}] (0,0) circle (\lrad);
\draw[cross] (0,\lrad) circle (\srad) node[above=5pt] {$\partial_k R_{k,ij}(p_1,p_2)$};
\draw[dressed] (-\lrad,0) circle (\srad) node[left=2pt] {$G_{k,jk}(p_2,p_3)$};
\draw[dressed] (\lrad,0) circle (\srad) node[right=2pt] {$G_{k,li}(p_4,p_1)$};
% External lines
\draw (-2.2*\lrad,-\lrad) -- (2.2*\lrad,-\lrad) node[pos=0.1,below] {$\varphi_a$} node[pos=0.9,below] {$\varphi_b$};
\draw[momentum] (-2*\lrad,-\lrad) -- (-\lrad,-\lrad) node[midway,above] {$q_1$};
\draw[momentum] (\lrad,-\lrad) -- (2*\lrad,-\lrad) node[midway,above] {$q_2$};
% Vertices
\draw[dressed] (0,-\lrad) circle (\mrad) node[below] {$\Gamma_{k,abkl}^{(4)}(q_1,-q_2,p_3,-p_4)$};
\end{tikzpicture}
\end{document}