Solvable Confining Gauge Theories at Large N

TL;DR

This paper introduces solvable large N models with multiple gauge and Kalb-Ramond fields that exhibit confinement, characterized by an emergent gauge symmetry and monopole condensation, providing insights into non-perturbative gauge dynamics.

Contribution

It presents explicit solutions for large N gauge models with Kalb-Ramond fields, revealing a confining phase linked to magnetic monopole condensation and emergent gauge symmetry.

Findings

Models exhibit confinement at large N.

Confinement linked to monopole condensation.

Emergent gauge symmetry characterizes the confining phase.

Abstract

In this letter we consider models with N U(1) gauge fields together with N Kalb-Ramond fields in the large N limit. These models can be solved explicitely and exhibit confinement for a large class of bare actions. The confining phase is characterized by an approximate "low energy" vector gauge symmetry under which the Kalb-Ramond fields transform. A duality transformation shows that confinement is associated with magnetic monopoles condensation.