Non-perturbative renormalization of the Yang-Mills beta functions

TL;DR

This paper introduces a non-perturbative method to analyze the Yang-Mills beta functions, providing insights into gauge coupling and topological charge without relying on instanton calculations, with potential implications for QCD and supersymmetric theories.

Contribution

It presents a novel boundary-based approach to determine non-perturbative corrections in Yang-Mills theory, avoiding explicit instanton calculations.

Findings

Non-perturbative corrections to gauge coupling and topological charge determined.

Method relies on boundary properties of the quantum partition function.

Potential applications to QCD and supersymmetric QCD.

Abstract

We determine the non-perturbative corrections to the gauge coupling constant and the topological charge in the Yang Mills theory. The method makes no explicit use of instanton calculations but instead relies on boundary properties of the quantum partition function. The approach may offer important clues regarding the behavior of the coupling constant and the theta angle for other gauge theories like QCD and supersymmetric QCD.