Photon propagator, monopoles and the thermal phase transition in 3D compact QED

TL;DR

This study examines how monopoles influence the photon propagator in 3D compact QED at finite temperature, revealing that monopole-related parameters serve as order parameters for the deconfinement transition.

Contribution

It demonstrates the role of monopoles in the photon propagator's anomalous dimension and identifies their ratios as indicators of the phase transition.

Findings

Monopoles induce an anomalous dimension in the propagator.

Photon wave function renormalization ratios serve as deconfinement order parameters.

Results relate monopole effects in Abelian and non-Abelian gauge theories.

Abstract

We investigate the gauge boson propagator in three dimensional compact Abelian gauge model in the Landau gauge at finite temperature. The presence of the monopole plasma in the confinement phase leads to appearance of an anomalous dimension in the momentum dependence of the propagator. The anomalous dimension as well as an appropriate ratio of photon wave function renormalization constants with and without monopoles are observed to be order parameters for the deconfinement phase transition. We discuss the relation between our results and the confining properties of the gluon propagator in non--Abelian gauge theories.