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

V. E. Rochev
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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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V. E. Rochev. 1997-12-23. On solving Schwinger-Dyson equations for non-Abelian gauge theory. https://doi.org/10.1088/0305-4470%2F31%2F1%2F034

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