Perturbative Yang-Mills theory without Faddeev-Popov ghost fields

TL;DR

This paper proposes a modified quantization method for Yang-Mills theory that replaces ghost fields with multi-point gauge interactions, demonstrating equivalence to the traditional Faddeev-Popov approach at second order.

Contribution

It introduces a ghost-free quantization scheme for Yang-Mills theory using multi-point gauge interactions, offering an alternative to the Faddeev-Popov method.

Findings

Modified path integral matches standard Faddeev-Popov results at O(g^2)

Ghost fields can be replaced by multi-point gauge interactions

The approach simplifies the quantization process without losing equivalence

Abstract

A modifed 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 $O(g^2)$ shows the equivalence of the usual Faddeev-Popov scheme and its modified version.