No abstract

Based on the topological structure of non-Abelian gauge theories, a dual QCD gauge formulation has been developed in terms of magnetic symmetry, which manifests the topological structure of the symmetry group in a non-trivial way. The dynamical configuration of the resulting dual QCD vacuum and its flux tube configuration have been investigated for analyzing the nonperturbative features of QCD. Utilizing the dual QCD Lagrangian in the dynamically broken phase of magnetic symmetry and applying Zwanziger formalism, the non-perturbative gluon propagator has been derived and used to extract the quark confining potential for both quenched and full QCD. The quenched confining mechanism is responsible for linear confinement and points towards the permanent confinement of the colored quarks inside the hadrons. In full QCD due to lightquark polarization the quark-antiquark potential automatically screens signaling the instability in the flux tube at large inter-quark distances and such screening increases with the increase of infrared cutoff. Using the partition function approach alongwith the mean-field treatment for the QCD monopole field the thermal response of the QCD vacuum has been analyzed by deriving the finite-temperature form of quark confining potential. A continuous vanishing of the associated string tension has been observed in the vicinity of critical temperature, which, in turn, leads to the restoration of magnetic symmetry in the domain of high temperatures and signals the onset of second-order deconfinement phase transition.

Abstract. Utilizing the dual QCD model in term of magnetic symmetry structure of nonAbelian gauge theories, the dynamical chiral-symmetry breaking using Schwinger-Dyson equation has been investigated. A close relation among the color confinement and chiralsymmetry breaking has been observed and demonstrated by computing dynamical parameters. The recovery of the chiral symmetry has also been discussed at finite temperature through the variation of quark mass function and quark condensate which gradually decreases with temperature and vanishes suddenly near the critical temperature.

We study the pure-gauge QCD phase transition at finite temperatures in the dual QCD theory, an effective theory of QCD based on the magnetic symmetry. We formulate the effective thermodynamical potential for finite temperatures using the pathintegral formalism in order to investigate the properties of the pure-gauge QCD vacuum. Thermal effects bring a first-order deconfinement phase transition. SU(3) Dual QCD FormulationThe formulation involves imposing the magnetic symmetry as an internal isometry H admitting some additional Killing vector fields (m) with the Killing condition L ξ i g AB = 0 , which are internal such a

The mechanism of color confinement has been studied in the framework of SU(3) color gauge theory in terms of Abelian fields and monopoles extracted by adopting magnetic symmetry. The existence of the mechanism of color confinement corresponds to the dual Meissner effect caused by monopoles. The two length scales, i.e. the penetration depth and coherence length are defined to demonstrate the scaling nature of the QCD vacuum, and their ratio defines the Ginzburg-Landau parameter indicating the border of type-I and type-II dual superconductor. The existence of these two length scales describes the intrinsic shape of the confining flux tube and is a characteristic of the dual superconductor model of confinement in QCD. As a result, the quark confining potential has been computed and the resulting expression of string tension has been constructed in the infrared sector of SU(3) dual QCD formulation. Moreover, with the introduction of dynamical quarks, the flux tube breaks and leads to the creation of quark-anti-quark pairs. Finite temperature quark confining potential and the associated string tension has also been extracted which demonstrates a considerable reduction in the vicinity of critical temperature showing agreement with the recent lattice studies.