CrasyDSE: a framework for solving Dyson-Schwinger equations. Dyson-Schwinger equations are important tools for non-perturbative 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 Dyson-Schwinger equations needs to be automated, we defer this task to a Mathematica notebook. We illustrate the complete workflow with an example from Yang-Mills theory coupled to a fundamental scalar field that has been investigated recently. As a second example we calculate the propagators of pure Yang-Mills 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 Dyson-Schwinger equations.
Keywords for this software
References in zbMATH (referenced in 4 articles , 1 standard article )
Showing results 1 to 4 of 4.
- Huber, Markus Q.: Nonperturbative properties of Yang-Mills theories (2020)
- Fischbacher, Thomas; Synatschke-Czerwonka, Franziska: FlowPy -- a numerical solver for functional renormalization group equations (2013)
- Huber, Markus Q.; von Smekal, Lorenz: On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory (2013)
- Huber, Markus Q.; Mitter, Mario: CrasyDSE: a framework for solving Dyson-Schwinger equations (2012)