Deconfinement mechanism in three dimensions for gauge fields coupled to bosonic matter fields with fundamental charge

TL;DR

This paper introduces a deconfinement mechanism in three-dimensional Abelian Higgs models with fundamental matter, revealing a universal phase transition characterized by a fixed point at zero fugacity and a jump in stiffness.

Contribution

It presents a novel deconfinement mechanism for gauge fields coupled to bosonic matter in three dimensions, with a detailed analysis of the phase transition using Kosterlitz-Thouless type recursion relations.

Findings

Existence of a stable fixed point at zero fugacity.

Universal jump in the stiffness parameter at the phase transition.

Deconfinement mechanism applicable to any dimension with logarithmic potential.

Abstract

We propose a mechanism by which electric charges deconfine in an Abelian Higgs model with matter fields belonging to the fundamental representation of the gauge group. Kosterlitz-Thouless like recursion relations for a scale-dependent stiffness parameter and fugacity are given, showing that for a logarithmic potential between point charges in any dimension, there exists a stable fixed point at zero fugacity, with a dimensionality dependent universal jump in the stiffness parameter at the phase transition.