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Gluon propagator in the axial gauge

A. I. Alekseev

Abstract

The Schwinger--Dyson equation for the total gluon propagator is considered in pure Yang--Mills theory. The axial gauge is used, the vertex function is determined by means of the Ward--Slavnov identity, and dimensional regularization is employed. It is shown under certain assumptions that the behavior D(q)approx.1/q/sup 4/, q/sup 2/..-->..0 of the total gluon propagator satisfies the Schwinger--Dyson equation.

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Key concepts: Propagator, Gluon, Mathematical physics, Vertex function, Physics, Regularization (linguistics), Vertex (graph theory), Gauge theory