TECHNIQUE FOR DERIVING FEYNMAN INTEGRALS IN AXIAL-TYPE GAUGES

Abstract

Employing the [Formula: see text] prescription for axial-type gauges, and working in the unified-gauge formalism defined by nμ and the null vector Fμ, we develop a simple technique for evaluating higher-rank integrals from known lower-rank integrals. Based on partial differentiation and implementation of an auxiliary constraint condition, the technique is applicable to a wide variety of integrals containing either single, double or triple spurious poles. We illustrate our procedure with several examples. There are strong indications that the new technique is also capable of generating the finite parts of axial-type integrals.