Confinement in the Abelian-Higgs-type theories: string picture and field correlators

TL;DR

This paper explores confinement in Abelian-Higgs models using field correlators and string representations, revealing new long-range interactions and effects of the theta-term, with implications for understanding non-Abelian gauge theories.

Contribution

It derives electric field-strength correlators including closed string effects and introduces a modified interaction beyond the London limit, connecting string models with field correlators.

Findings

Bilocal electric field correlators include closed string contributions.

Debye screening leads to a long-range interaction and a Luescher-type term.

Modified interactions reduce to Yukawa form beyond the London limit.

Abstract

Field correlators and the string representation are used as two complementary approaches for the description of confinement in the SU(N)-inspired dual Abelian-Higgs-type model. In the London limit of the simplest, SU(2)-inspired, model, bilocal electric field-strength correlators have been derived with accounting for the contributions to these averages produced by closed dual strings. The Debye screening in the plasma of such strings yields a novel long-range interaction between points lying on the contour of the Wilson loop. This interaction generates a Luescher-type term, even when one restrics oneself to the minimal surface, as it is usually done in the bilocal approximation to the stochastic vacuum model. Beyond the London limit, it has been shown that a modified interaction appears, which becomes reduced to the standard Yukawa one in the London limit. Finally, a string representation of the SU(N)-inspired model with the theta-term, in the London limit, can be constructed.