A new approach to perturbative theory in the nonperturbative QCD vacuum

TL;DR

This paper introduces a novel stochastic quantization approach to derive gauge-invariant equations for nonperturbative QCD vacuum correlators, providing new regularization methods and background field propagators.

Contribution

It presents a new stochastic quantization framework for nonperturbative QCD, including three regularization techniques and explicit background field propagators.

Findings

Derived gauge-invariant equations for vacuum correlators

Proposed three stochastic regularization methods

Obtained background field propagators in lowest-order perturbation

Abstract

Using stochastic quantization method we derive gauge-invariant equations, connecting multilocal vacuum correlators of nonperturbative field configurations immersed into the quantum background. Three alternative methods of stochastic regularization of these equations are suggested, and the corresponding regularized propagators of a background field are obtained in the lowest order of perturbation theory.