Supersymmetric quantization of Yang-Mills theory and possible applications

TL;DR

This paper introduces a novel operator quantization method for gauge theories that avoids gauge fixing and the Gribov problem, enabling Lorentz-invariant non-perturbative analysis and applications to QCD.

Contribution

It presents a new gauge theory quantization scheme that eliminates the need for gauge fixing and addresses the Gribov ambiguity, with potential applications to QCD.

Findings

Avoids gauge fixing in quantization

Constructs Lorentz-invariant path integrals

Applicable to non-perturbative QCD analysis

Abstract

We develop a new operator quantization scheme for gauge theories where no gauge fixing for gauge fields is needed. The scheme allows one to avoid the Gribov problem and construct a manifestly Lorentz invariant path integral that can be used in the non-perturbative domain. We discuss briefly an application of the method to Abelian projections of QCD.