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higgs-potential.tex
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\documentclass{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.8}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
axis lines=center,
view={140}{25},
axis equal,
domain=0:360,
y domain=0:1.25,
xmax=1.5,ymax=1.5,zmin=0,zmax=1.5,
x label style={at={(axis description cs:0.18,0.29)},anchor=north},
y label style={at={(axis description cs:0.82,0.25)},anchor=north},
z label style={at={(axis description cs:0.44,0.8)},anchor=north},
xlabel = $\mathrm{Re}(\phi)$,
ylabel=$\mathrm{Im}(\phi)$,
zlabel=$V(\phi)$,
ticks=none,
clip bounding box=upper bound
]
\addplot3 [surf, shader=flat, draw=black, fill=white, z buffer=sort] ({sin(x)*y}, {cos(x)*y}, {(y^2-1)^2});
\end{axis}
\shade (3.47,3.5) circle [radius=0.15cm];
\shade (5.1,2.2) circle [radius=0.15cm];
\node[anchor=east] at (4.05,3.71) (text) {A};
\node[anchor=west] at (5.5,3.0) (description) {B};
\draw (description) edge[out=180,in=0,<-] (text);
\end{tikzpicture}
\end{document}