Supersymmetric quantization of gauge theories

TL;DR

This paper introduces a supersymmetric operator quantization method for gauge theories that avoids gauge fixing and Gribov ambiguities, enabling non-perturbative analysis of infrared phenomena like gluon confinement.

Contribution

It presents a novel N=2 supersymmetric quantization scheme for gauge theories that is gauge condition free and non-perturbatively valid, unlike traditional methods.

Findings

Path integral is Lorentz invariant.

Free of Gribov ambiguity in non-perturbative domain.

Suitable for studying infrared properties like confinement.

Abstract

We develop a new operator quantization scheme for gauge theories in which the dynamics of the ghost sector is described by an N=2 supersymmetry. In this scheme no gauge condition is imposed on the gauge fields. The corresponding path integral is explicitly Lorentz invariant and, in contrast to the BRST-BFV path integral in the Lorentz gauge, it is free of the Gribov ambiguity, i.e., it is also valid in the non-perturbative domain. The formalism can therefore be used to study the non-perturbative properties of gauge theories in the infra-red region (gluon confinement).