Abstract

We study the pure-gauge QCD phase transition at filnite temperatures in the dual QCD theory, an effective theory of QCD based on the magnetic symmetry. We formulate the effective thermodynamical potential for filnite temperatures using the path-integral formalism in order to investigate the properties of the pure-gauge QCD vacuum. Thermal effects bring a first-order deconfinement phase transition.

Highlights

  • One of the crucial areas of high energy physics research is to examine the study of Quantum Chromodynamics (QCD) [1, 2], contemplated as the fundamental theory of quarks and gluons

  • We formulate the effective thermodynamical potential for finite temperatures using the path-integral formalism in order to investigate the properties of the pure-gauge QCD vacuum at finite temperatures using dual QCD formulation based on magnetic symmetry

  • To establish monopole condensation in QCD, we have studied the mechanism of quark confinement in the context of gauge theory of non-Abelian monopoles which has a built-in dual structure

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Summary

Introduction

One of the crucial areas of high energy physics research is to examine the study of Quantum Chromodynamics (QCD) [1, 2], contemplated as the fundamental theory of quarks and gluons. We formulate the effective thermodynamical potential for finite temperatures using the path-integral formalism in order to investigate the properties of the pure-gauge QCD vacuum at finite temperatures using dual QCD formulation based on magnetic symmetry. This leads to the value of gauge potential with proper choices of Aμ and Aμ, in the following form, Wμ−U→g−1

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