On solving Schwinger-Dyson equations for non-Abelian gauge theory
Abstract
Description
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.
12 pages, Plain LaTeX, no figures, extended and revised version published in Journal of Physics A
12 pages, Plain LaTeX, no figures, extended and revised version published in Journal of Physics A