A non-perturbative approach to the study of confinement-deconfinement phase transition in S U(3) dual QCD formulation

TL;DR

This paper presents an analytical, non-perturbative study of the confinement-deconfinement phase transition in pure gluon SU(3) dual QCD, highlighting magnetic monopoles, the dual Meissner effect, and gauge-invariant glueball masses.

Contribution

It introduces a gauge-invariant, non-perturbative framework for analyzing the phase transition using magnetic symmetry and effective potential methods.

Findings

Magnetic monopole condensate acts as an order parameter.

Evidence of a first-order phase transition from effective potential analysis.

Gauge-invariant glueball masses are computed at finite temperature.

Abstract

We provide an analytical derivation of the confinement deconfinement phase transition to QCD in the pure gluon sector at finite temperature within the framework of S U(3) dual QCD formulation. The mechanism of color confinement has been explained by adopting magnetic symmetry to extract magnetic monopoles in a gauge invariant way and produce magnetic condensation of S U(3) dual QCD vacuum which guarantees the dual Meissner effect. The deconfinement phase transition has been described by constructing the effective potential at finite temperature in the imaginary time formalism. The magnetic monopole condensate acts as an order parameter for both the confinement deconfinement phase and has been observed to be associated with the appearance/disappearance of magnetic monopole condensate. The evidence of the confinement deconfinement phase transition is further confirmed by the appearance/disappearance of the dual Meissner effect and the existence/breaking of flux tube with temperature. The gauge-invariant vector and scalar glueball masses at finite temperature have been obtained from the minimization of the effective potential at finite temperature which seems to demonstrate a first order deconfinement phase transition associated with the restoration of magnetic symmetry.