Infrared Behaviour of the Gauge Boson Propagator in a Confining Theory

TL;DR

This paper investigates the infrared behavior of the gauge boson propagator in a confining dual Abelian Higgs theory, revealing the absence of a double pole and identifying angular singularities as signatures of confinement.

Contribution

It demonstrates that the infrared double pole in the gauge boson propagator is absent in a confining theory and links angular singularities to confining strings.

Findings

Double pole 1/(p^2)^2 is absent in the confining regime.

Angular singularities indicate the onset of confinement.

Confining strings manifest through specific angular singularities.

Abstract

We study the gauge boson propagator in the dual Abelian Higgs theory which confines electric charges. The confinement is due to dual Abrikosov-Nielsen-Olesen strings. We show that the infrared double pole 1/(p^2)^2 in the propagator is absent due to the confinement phenomenon. Instead, specific angular singularities signal the eventual set in of the confinement. These angular singularities are a manifestation of the confining strings.