The infrared fixed point of Landau gauge Yang-Mills theory

TL;DR

This paper introduces a simplified analytical approach using Callan-Symanzik renormalization group equations to study the infrared fixed point of Landau gauge Yang-Mills theory, aligning with previous Dyson-Schwinger and lattice results.

Contribution

It presents a new, technically simple epsilon expansion method that systematically recovers known solutions and identifies the infrared-stable fixed point consistent with lattice findings.

Findings

Analytical derivation of infrared fixed points

Identification of the stable fixed point matching lattice results

Systematic improvement over previous Dyson-Schwinger solutions

Abstract

Over the last decade, the infrared behavior of Yang-Mills theory in the Landau gauge has been scrutinized with the help of Dyson-Schwinger equations and lattice calculations. In this contribution, we describe a technically simple approach to the deep infrared regime via Callan-Symanzik renormalization group equations in an epsilon expansion. This approach recovers, in an analytical and systematically improvable way, all the solutions previously found as solutions of the Dyson-Schwinger equations and singles out the solution favored by lattice calculations as the infrared-stable fixed point (for space-time dimensions above two).