Abstract

Abstract It is shown that the principle of analytic continuation is well suited for regulating the spurious singularity peculiar to Feynman integrals in the axial gauges. This new, analytic regularization is much more powerful than the standard regularization based on the principal-value prescription, at the same time yielding identical results compared to the latter. An analytic representation based on a Meijer G-function is derived for the class of massless, two-point integrals ∫d2ωq[(p − q)2] κ × (q2)μ(q · n)v, where n is the vector defining the axial guage and ω, κ, μ and v are continuous variables. Several important aspects of the representation are discussed and examples of its application are given.

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