SU(2) Abelian projected action for renormalisation group flows

TL;DR

This paper uses exact renormalisation group equations to analyze the low energy behavior of SU(2) Yang-Mills theory in a maximal Abelian gauge, revealing the relevant degrees of freedom for confinement and its duality to an Abelian Higgs model.

Contribution

It demonstrates that ERG methods can derive an effective action capturing confinement physics in SU(2) Yang-Mills theory.

Findings

Effective action contains relevant degrees of freedom for confinement

Confining regime is dual to broken phase of Abelian Higgs model

ERG approach successfully analyzes low energy SU(2) Yang-Mills

Abstract

The dual Meissner effect scenario of confinement is analysed using exact renormalisation group (ERG) equations. In particular, the low energy regime of SU(2) Yang-Mills is studied in a maximal Abelian gauge. It is shown that under general conditions the effective action derived when integrated using ERG methods contains the relevant degrees of freedom for confinement. In addition, the physics in the confining regime is dual to that of the broken phase of an Abelian Higgs model.