Solving a Set of Truncated Dyson-Schwinger Equations with a Globally Converging Method

Details Solving a Set of Truncated Dyson-Schwinger Equations with a Globally Converging Method Solving a Set of Truncated Dyson-Schwinger Equations with a Globally Converging Method

2005-04-14

arxiv.org/abs/hep-ph/0504110v2

Comput.Phys.Commun. 175 (2006) 167-179

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 3 figures, 4 tables, submitted to Comput. Phys. Commun; one subsection expanded with additional technical details, a

Scientific paper

10.1016/j.cpc.2006.02.005

A globally converging numerical method to solve coupled sets of non-linear integral equations is presented. Such systems occur e.g. in the study of Dyson-Schwinger equations of Yang-Mills theory and QCD. The method is based on the knowledge of the qualitative properties of the solution functions in the far infrared and ultraviolet. Using this input, the full solutions are constructed using a globally convergent modified Newton iteration. Two different systems will be treated as examples: The Dyson-Schwinger equations of 3-dimensional Yang-Mills-Higgs theory provide a system of finite integrals, while those of 4-dimensional Yang-Mills theory at high temperatures are only finite after renormalization.

Affiliated with

Also associated with

No associations

Rating

Solving a Set of Truncated Dyson-Schwinger Equations with a Globally Converging Method 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 Solving a Set of Truncated Dyson-Schwinger Equations with a Globally Converging Method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solving a Set of Truncated Dyson-Schwinger Equations with a Globally Converging Method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145733