A Confining Non-Local Four-Fermi Interaction from Yang-Mills Theory in a Stochastic Background

TL;DR

This paper derives a non-local four-fermion interaction with a linear potential from Yang-Mills theory in a stochastic background, providing insights into non-perturbative effects in gauge theories.

Contribution

It introduces a novel derivation of a non-local four-fermion term with linear potential from Yang-Mills theory using a stochastic background approach.

Findings

Derived a non-local four-fermion interaction from Yang-Mills theory.

Established a connection between stochastic backgrounds and non-perturbative gauge effects.

Provided a potential framework for understanding confinement mechanisms.

Abstract

We derive a non-local four-fermi term with a linear potential from Yang-Mills Theory in a stochastic background. The stochastic background is a class of classical configuration derived from the non-linear gauge.