String Representation of the Abelian Higgs Model with an Axionic Interaction

TL;DR

This paper develops a string representation of the Abelian Higgs Model with an axionic term, revealing new three-local interactions and correlators, and suggests its vacuum structure resembles gluodynamics more closely.

Contribution

It introduces a novel string effective action with three-local interactions derived from the axionic term in the Abelian Higgs Model.

Findings

New three-local interaction in string effective action

Existence of a nontrivial three-local correlator of dual field strengths

Vacuum structure similar to gluodynamics

Abstract

Making use of the duality transformation, we construct string representation for the partition function of the London limit of Abelian Higgs Model with an additional axionic term. In the lowest order of perturbation theory, this term leads to the appearance in the resulting string effective action of a new threelocal interaction between the elements of the string world-sheet. Consequently, there emerges a threelocal correlator of the dual field strength tensors, which does not contain the average over world-sheets, and is therefore nontrivial even in the sector of the theory with a single small vortex. The relation between the obtained correlator and the bilocal one is established. Finally, it is argued that the vacuum structure of the London limit of the Abelian Higgs Model with an additional axionic interaction is much more similar to that of gluodynamics rather than without this interaction.