Confinement potential in dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings

TL;DR

This paper calculates the interquark confinement potential within a dual Monopole Nambu-Jona-Lasinio model incorporating dual Dirac strings, analyzing quantum fluctuations and scalar field contributions.

Contribution

It introduces a novel calculation of the confinement potential considering quantum fluctuations and scalar exchanges in the dual monopole model.

Findings

Confinement potential depends on dual Dirac string length.

Quantum fluctuations significantly influence the potential.

Scalar field exchange contributes in the tree approximation.

Abstract

Interquark confinement potential is calculated in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings as a functional of a dual Dirac string length. The calculation is carried out by the explicit integration over quantum fluctuations of a dual-vector field (monopole-antimonopole collective excitation) around the Abrikosov flux line and string shape fluctuations. The contribution of the scalar field (monopole-antimonopole collective excitation) exchange is taken into account in the tree approximation due to the London limit regime.