# Non perturbative and thermal dynamics of confined fields in dual QCD

## TL;DR

This paper explores the non-perturbative and thermal behavior of confined fields in dual QCD, analyzing flux tube structures, their localization, and implications for quark-gluon plasma formation.

## Contribution

It introduces a dual QCD framework with a fiber bundle approach to study magnetic symmetry breaking and flux tube dynamics in confined fields.

## Key findings

- Flux tubes localize at poles on large spheres and distribute uniformly on small spheres.
- Critical flux tube densities match those observed in lead-ion collisions.
- Flux tubes can survive thermal effects, suggesting possible exotic states like QGP during phase transition.

## Abstract

In order to study the detailed dynamics and associated non-perturbative features of QCD, a dual version of the color gauge theory based on the topologically viable homogeneous fiber bundle approach has been analysed taking into account its magnetic symmetry structure. In the dynamically broken phase of magnetic symmetry, the associated flux tube structure on a S 2 -sphere in the magnetically condensed state of the dual QCD vacuum has been analyzed for the profiles of the color electric field using flux quantization and stability conditions. The color electric field has its intimate association with the vector mode of the magnetically condensed QCD vacuum and such field configurations have been analyzed to show that the color electric flux gets localized towards the poles for a large sphere case while it gets uniformly distributed for the small sphere case in the infrared sector of QCD. The critical flux tube densities have been computed for various couplings and are shown to be in agreement with that for lead-ion central collisions in the near infrared sector of QCD. The possible annihilation/unification of flux tubes under some typical flux tube density and temperature conditions in the magnetic symmetry broken phase of QCD has also been analyzed and shown to play an important role in the process of QGP formation. The thermal variation of the profiles of the color electic field is further investigated which indicates the survival of flux tubes even in the thermal domain that leads the possibility of the formation of some exotic states like QGP in the intermedate regime during the quark-hadron phase transition.