String Representation of Field Correlators in the Dual Abelian Higgs Model

TL;DR

This paper derives a string representation for the partition function and correlators in an extended Dual Abelian Higgs Model, supporting the dual Meissner scenario of confinement and the stochastic QCD vacuum model.

Contribution

It introduces a novel string representation for gauge and monopole correlators in the Dual Abelian Higgs Model using path integral duality transformation.

Findings

Results align with the dual Meissner scenario of confinement.

Findings support the stochastic model of the QCD vacuum.

Derived representations match known theoretical expectations.

Abstract

By making use of the path integral duality transformation, we derive the string representation for the partition function of an extended Dual Abelian Higgs Model containing gauge fields of external currents of electrically charged particles. By the same method, we obtain the corresponding representations for the generating functionals of gauge field and monopole current correlators. In the case of bilocal correlators, the obtained results are found to be in agreement with the dual Meissner scenario of confinement and with the Stochastic Model of the QCD vacuum.