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.
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% 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}
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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..