Perturbative Yang–Mills theory without Faddeev–Popov ghost fields

Abstract

A modified Faddeev–Popov path integral density for the quantization of Yang–Mills theory in the Feynman gauge is discussed, where contributions of the Faddeev–Popov ghost fields are replaced by multi-point gauge field interactions. An explicit calculation to O(g2) shows the equivalence of the usual Faddeev–Popov scheme and its modified version.