Impact of Axions on Confinement in Three and Two Dimensions

TL;DR

This paper examines how adding axions affects confinement in 3D and 2D models, revealing significant changes in their confining regimes and introducing new features in the CP(N-1) model.

Contribution

It provides new insights into the impact of axions on confinement phenomena in well-studied low-dimensional models, including a previously unconsidered feature in the CP(N-1) model.

Findings

Axions cause drastic changes in confining regimes.

Deconfinement induced by axions in CP(N-1) model confirmed.

New features of axion effects in the models are discussed.

Abstract

In this paper we discuss well-known three- and two-dimensional models with confinement, namely, the Polyakov compact electrodynamics in 3D and two-dimensional CP(N-1) sigma model, and reveal changes in the confining regimes of these model upon adding the axion field. In both cases the addition of axion has a drastic impact. In the CP(N-1) model the axion-induced deconfinement was known previously, but we discuss a new feature not considered in the previous publication.