feynmanfeynmffeynmpfeynmp-autotikz-feynman
I am trying to draw the following cutted diagram
but I don't know how to do it.
I am using feynmf for the Feynman diagrams for my thesis since tikz-feynman requires lualatex and it gives enormous compiling times.
On a more general note, I would like to know these Wick contraction diagrams are usually made
As far as I know, there isn't any specific package to do them beside tikz which is a bit cumbersome and I really would like to avoid it!
Here's a new decoration, complete sines, that does what you describe: It computes the number of full waves that would fit into a given path with a specified wavelength, and then stretches the wavelength so that the path can be completely filled:
\documentclass[a4paper,12pt]{article}
\usepackage{tikz}
\usetikzlibrary{decorations}
\begin{document}
\pgfdeclaredecoration{complete sines}{initial}
{
\state{initial}[
width=+0pt,
next state=sine,
persistent precomputation={\pgfmathsetmacro\matchinglength{
\pgfdecoratedinputsegmentlength / int(\pgfdecoratedinputsegmentlength/\pgfdecorationsegmentlength)}
\setlength{\pgfdecorationsegmentlength}{\matchinglength pt}
}] {}
\state{sine}[width=\pgfdecorationsegmentlength]{
\pgfpathsine{\pgfpoint{0.25\pgfdecorationsegmentlength}{0.5\pgfdecorationsegmentamplitude}}
\pgfpathcosine{\pgfpoint{0.25\pgfdecorationsegmentlength}{-0.5\pgfdecorationsegmentamplitude}}
\pgfpathsine{\pgfpoint{0.25\pgfdecorationsegmentlength}{-0.5\pgfdecorationsegmentamplitude}}
\pgfpathcosine{\pgfpoint{0.25\pgfdecorationsegmentlength}{0.5\pgfdecorationsegmentamplitude}}
}
\state{final}{}
}
\begin{tikzpicture}[
every path/.style={
decoration={
complete sines,
segment length=1cm,
amplitude=1cm
},
decorate
}]
\draw (0,0) -- (2,0);
\draw [yshift=-1.2cm] (0,0) -- (2.5,0);
\draw [yshift=-2.4cm] (0,0) -- (3,0);
\end{tikzpicture}
\end{document}
Here's an example of three paths, 2 cm, 2.5 cm and 3 cm in length, with a nominal wavelength of 1 cm. In the first case, there are two full waves with a wavelength of 1 cm, in the second there are two full waves with a wavelength of 1.25 cm, and in the third there are three full waves with a wavelength of 1 cm.
If you'd use it in the example you linked to, like this:
gluon/.style={decorate, draw=black,
decoration={complete sines,amplitude=8pt, segment length=11pt}}
}
it would yield this
The CVS version of TikZ contains a graph layout library, which works surprisingly well for this. Here are a couple of your examples. The syntax could be shortened (f instead of fermion, for example), this is just to show the idea:
\graph [spring layout, nodes=coordinate, horizontal'=c to d]
{
c -- [fermion] a,
b --[fermion] c -- [photon] d,
e -- [fermion] d -- [fermion] f;
};
\graph [spring layout, nodes=coordinate, horizontal'=c to d]
{
c -- [fermion] a,
b --[fermion] c -- [gluon] d,
e -- [fermion] d -- [fermion] f;
};
\graph [spring layout, anchor at={(0,-4)}, nodes=coordinate, horizontal'= b to d]
{
a -- [fermion] b -- [fermion] c,
b -- [photon] d -- [left, fermion] e -- [left, fermion] d,
e -- [photon] f -- [fermion] g,
h -- [fermion] f;
};
\graph [spring layout, anchor at={(0,-5)}, nodes=coordinate, vertical= e to f]
{
a -- [fermion] b -- [photon] c -- [fermion] d,
b -- [fermion] e -- [fermion] c,
e -- [gluon] f,
h -- [fermion] f -- [fermion] i
};
There are some issues with decorating curved paths using waves, and the coils decoration sometimes ends with a straight path segment, but that could be fixed.
Here's the complete code (requires lualatex).
\documentclass[a4paper,12pt, border=5mm]{standalone}
\usepackage{tikz}
\usetikzlibrary{decorations, decorations.markings, decorations.pathmorphing, arrows, graphs, graphdrawing, shapes.geometric, snakes}
\usegdlibrary{trees,force, layered}
\pgfdeclaredecoration{complete sines}{initial}
{
\state{initial}[
width=+0pt,
next state=sine,
persistent precomputation={\pgfmathsetmacro\matchinglength{
\pgfdecoratedinputsegmentlength / int(\pgfdecoratedinputsegmentlength/\pgfdecorationsegmentlength)}
\setlength{\pgfdecorationsegmentlength}{\matchinglength pt}
}] {}
\state{sine}[width=\pgfdecorationsegmentlength]{
\pgfpathsine{\pgfpoint{0.25\pgfdecorationsegmentlength}{0.5\pgfdecorationsegmentamplitude}}
\pgfpathcosine{\pgfpoint{0.25\pgfdecorationsegmentlength}{-0.5\pgfdecorationsegmentamplitude}}
\pgfpathsine{\pgfpoint{0.25\pgfdecorationsegmentlength}{-0.5\pgfdecorationsegmentamplitude}}
\pgfpathcosine{\pgfpoint{0.25\pgfdecorationsegmentlength}{0.5\pgfdecorationsegmentamplitude}}
}
\state{final}{}
}
\tikzset{
photon/.style={
decoration={complete sines, amplitude=0.15cm, segment length=0.2cm},
decorate
},
fermion/.style={
decoration={
markings,
mark=at position 0.5 with {\node[transform shape, xshift=-0.5mm, fill=black, inner sep=1pt, draw, isosceles triangle]{};}
},
postaction=decorate
},
gluon/.style={
decoration={coil, aspect=0.75, mirror, segment length=1.5mm},
decorate
},
left/.style={
bend left=90,
looseness=1.75
}
}
\begin{document}%
\begin{tikzpicture}
\graph [spring layout, nodes=coordinate, horizontal'=c to d]
{
c -- [fermion] a,
b --[fermion] c -- [photon] d,
e -- [fermion] d -- [fermion] f;
};
\graph [spring layout, anchor at={(0,-2)}, nodes=coordinate, horizontal'=c to d]
{
c -- [fermion] a,
b --[fermion] c -- [gluon] d,
e -- [fermion] d -- [fermion] f;
};
\graph [spring layout, anchor at={(0,-4)}, nodes=coordinate, horizontal'= b to d]
{
a -- [fermion] b -- [fermion] c,
b -- [photon] d -- [left, fermion] e -- [left, fermion] d,
e -- [photon] f -- [fermion] g,
h -- [fermion] f;
};
\graph [spring layout, anchor at={(0,-5)}, nodes=coordinate, vertical= e to f]
{
a -- [fermion] b -- [photon] c -- [fermion] d,
b -- [fermion] e -- [fermion] c,
e -- [gluon] f,
h -- [fermion] f -- [fermion] i
};
\end{tikzpicture}
\end{document}
Best Answer
Here is a way to do it with
tikz.The code below shows your 4 types, and your sketch at the end. With the following it's easy to create other diagrams of similar complexity, step-by-step, in a kind of modular way:
Kindly recognize that the single path sometimes skips drawing a line.
And yes, you can still improve on the pi-banana ;-)