English

On solving Schwinger-Dyson equations for non-Abelian gauge theory

High Energy Physics - Theory 2008-11-26 v2

Abstract

A method for solving Schwinger-Dyson equations for the Green function generating functional of non-Abelian gauge theory is proposed. The method is based on an approximation of Schwinger-Dyson equations by exactly soluble equations. For the SU(2) model the first step equations of the iteration scheme are solved which define a gauge field propagator. Apart from the usual perturbative solution, a non-perturbative solution is found which corresponds to the spontaneous symmetry breaking and obeys infrared finite behaviour of the propagator.

Keywords

Cite

@article{arxiv.hep-th/9705168,
  title  = {On solving Schwinger-Dyson equations for non-Abelian gauge theory},
  author = {V. E. Rochev},
  journal= {arXiv preprint arXiv:hep-th/9705168},
  year   = {2008}
}

Comments

12 pages, Plain LaTeX, no figures, extended and revised version published in Journal of Physics A