On solving Schwinger-Dyson equations for non-Abelian gauge theory
V.E. Rochev
TL;DR
This paper introduces a novel method for solving Schwinger-Dyson equations in non-Abelian gauge theories, providing both perturbative and non-perturbative solutions that exhibit infrared finite behavior and spontaneous symmetry breaking.
Contribution
A new approximation method for solving Schwinger-Dyson equations in non-Abelian gauge theories, including non-perturbative solutions with infrared finiteness.
Findings
Perturbative solutions for SU(2) gauge propagator
Non-perturbative solutions indicating spontaneous symmetry breaking
Infrared finite behavior of the gauge propagator
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.
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