Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-23
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 2 tables, 8 figs., source code available at http://theorie.ikp.physik.tu-darmstadt.de/~mqh/CrasyDSE/
Scientific paper
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 automatizing parts of the calculations will certainly be helpful in future investigations. In this article we present a framework for such an automatization 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 automatized, 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.
Huber Markus Q.
Mitter Mario
No associations
LandOfFree
CrasyDSE: A framework for solving Dyson-Schwinger equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with CrasyDSE: A framework for solving Dyson-Schwinger equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and CrasyDSE: A framework for solving Dyson-Schwinger equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-193002