Quantum and string shape fluctuations in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings

TL;DR

This paper calculates the magnetic monopole condensate in a dual Nambu-Jona-Lasinio model considering quantum and string shape fluctuations, highlighting their significant contributions.

Contribution

It introduces a detailed calculation of monopole condensate incorporating quantum and string shape fluctuations in the dual Monopole Nambu-Jona-Lasinio model.

Findings

Quantum and string shape fluctuations significantly affect the monopole condensate.

Explicit integration over fluctuations around the flux line was performed.

The model emphasizes the importance of fluctuations in monopole dynamics.

Abstract

The magnetic monopole condensate is calculated in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings suggested in Refs.[1,2] as a functional of the dual Dirac string shape. The calculation is carried out in the tree approximation in the scalar monopole-antimonopole collective excitation field. The integration over quantum fluctuations of the dual-vector monopole-antimonopole collective excitation field around the Abrikosov flux line and string shape fluctuations are performed explicitly. We claim that there are important contributions of quantum and string shape fluctuations to the magnetic monopole condensate.