Abelian projected SU(2) Yang-Mills action for renormalisation group flows

TL;DR

This paper investigates the low energy behavior of SU(2) Yang-Mills theory using Abelian projection and renormalisation group methods to understand confinement mechanisms.

Contribution

It provides a perturbative derivation of the Abelian projected effective action and explores its relevance for confinement via non-perturbative RG analysis.

Findings

Effective action contains relevant degrees of freedom for confinement

Ultraviolet irrelevant vertices are important for the effective action

Renormalisation group methods elucidate non-perturbative regime

Abstract

The dual Meissner effect scenario of confinement is discussed by studying the low energy regime of SU(2) Yang-Mills in a maximal Abelian gauge. The Abelian projected effective action is computed perturbatively. This serves as an input for a study of the non-perturbative regime, which is undertaken using exact renormalisation group methods. It is argued that the effective action derived here contains the relevant degrees of freedom for confinement if ultraviolet irrelevant vertices are retained.