Dual Meissner Effect and Quark Confinement Potential in SU(3) Dual QCD Formalism

Abstract

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.