swMATH ID: 
10833

Software Authors: 
Huber, Markus Q.; Mitter, Mario

Description: 
CrasyDSE: a framework for solving DysonSchwinger equations. DysonSchwinger equations are important tools for nonperturbative analyses of quantum field theories. For example, they are very useful for investigations in quantum chromodynamics and related theories. However, sometimes progress is impeded by the complexity of the equations. Thus automating parts of the calculations will certainly be helpful in future investigations. In this article we present a framework for such an automation based on a C++ code that can deal with a large number of Green functions. Since also the creation of the expressions for the integrals of the DysonSchwinger equations needs to be automated, we defer this task to a Mathematica notebook. We illustrate the complete workflow with an example from YangMills theory coupled to a fundamental scalar field that has been investigated recently. As a second example we calculate the propagators of pure YangMills theory. Our code can serve as a basis for many further investigations where the equations are too complicated to tackle by hand. It also can easily be combined with DoFun, a program for the derivation of DysonSchwinger equations. 
Homepage: 
http://physik.unigraz.at/~mqh/CrasyDSE/index.html

Keywords: 
DysonSchwinger equations;
correlation functions;
quantum field theory

Related Software: 
Mathematica;
DoFun;
HEPMath;
FeynCalc;
FormTracer;
JaxoDraw;
FeynHelpers;
FORM;
TRACER;
FlowPy

Cited in: 
5 Publications
