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

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

1997-05-22

arxiv.org/abs/hep-th/9705168v2

J.Phys.A31:409-416,1998

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0305-4470/31/1/034

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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