Propagation of Gluons From a Non-Perturbative Evolution Equation in Axial Gauges

TL;DR

This paper develops a non-perturbative evolution equation for gluon propagators in axial gauges using the exact renormalization group, providing insights into their behavior at different energy scales.

Contribution

It introduces a novel non-perturbative evolution equation for gluon propagators in axial gauges within the Wetterich framework.

Findings

Asymptotic solutions in ultraviolet limit

Asymptotic solutions in infrared limit

Framework applicable to non-perturbative QCD analysis

Abstract

We derive a non-perturbative evolution equation for the gluon propagator in axial gauges based on the framework of Wetterich's formulation of the exact renormalization group. We obtain asymptotic solutions to this equation in the ultraviolet and infrared limits.