Polyakov's confinement mechanism for generalized Maxwell theory

TL;DR

This paper explores how monopole condensation in a lattice-UV completed fractional-derivative Maxwell theory results in confinement, extending Polyakov's confinement mechanism to generalized Maxwell models relevant in condensed matter and quantum field theories.

Contribution

It demonstrates that monopole condensation induces confinement in fractional Maxwell theories, generalizing Polyakov's mechanism to new effective models.

Findings

Monopole condensation leads to confinement in fractional Maxwell theories.

Polyakov's confinement mechanism applies to generalized Maxwell models.

The study connects lattice UV completion with confinement phenomena.

Abstract

We study fractional-derivative Maxwell theory, as appears in effective descriptions of, for example, large $N_f$ QED${}_3$, graphene, and some types of surface defects. We argue that when the theory is UV completed on a lattice, monopole condensation leads to a confining phase via the Polyakov confinement mechanism.