Propagator branch cuts, i.e. a continuum of singularities, along the real frequency axis extending from $\pm |\vec p|$ out to $\pm \infty$. Pulled from arxiv:1712.09863.

Edit and compile if you like:

% Propagator branch cuts, i.e. a continuum of singularities, along the real frequency axis extending from +/- |p_vec| out to +/- infinity. % Pulled from https://arxiv.org/abs/1712.09863. \documentclass[tikz]{standalone} \usepackage{mathtools} \let\Im\relax \DeclareMathOperator{\Im}{Im} \let\Re\relax \DeclareMathOperator{\Re}{Re} \usetikzlibrary{decorations.pathmorphing} \def\xr{5} \def\yr{1} \begin{document} \begin{tikzpicture}[thick] % Labels \fill(-\xr/2, 0) circle (2pt) node[above] (l_branch) {$-\sqrt{\vec{p}^2}$} (\xr/2, 0) circle (2pt) node[above] (r_branch) {$\sqrt{\vec{p}^2}$}; % Axes \draw[->, decorate, decoration={zigzag, segment length=6, amplitude=2}, blue!60!black] (-\xr-0.4, 0) -- (l_branch.south) (r_branch.south) -- (\xr, 0) node [above left, black] {$\Re(p_0)$}; \draw(l_branch.south) -- (r_branch.south); \draw[->] (0, -\yr) -- (0, \yr) node[below left=0.1] {$\Im(p_0)$}; \end{tikzpicture} \end{document}

Click to download: branch-cuts.tex

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This file is available on tikz.netlify.app and on GitHub and is MIT licensed.

See more on the author page of Janosh Riebesell..