Abstract
Utilizing the dual QCD model in term of magnetic symmetry structure of non- Abelian 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.
Highlights
Color confinement and chiral-symmetry breaking are two outstanding non-perturbative phenomena in quantum chromodynamics (QCD) and their relation have been studied as one of the important difficult problems in theoretical particle physics
As a theoretical approach to understand the phase structure of QCD, the present paper, deals to present a gauge independent field decomposition formalism in which the QCD potential splits into the non-topological abelian part and the topological monopole part to establish the color confinement and chiral symmetry breaking using Schwinger-Dyson equation (SDE) method
Further we study the manifestation of chiral symmetry at finite temperature in the dual QCD vacuum by making the following replacement in the solution of the SDE (10) of the dynamically generated quark-mass function
Summary
Color confinement and chiral-symmetry breaking are two outstanding non-perturbative phenomena in quantum chromodynamics (QCD) and their relation have been studied as one of the important difficult problems in theoretical particle physics. In this direction, the dual superconductor picture for the Yang-Mills theory [1,2,3,4,5] is an attractive hypothesis for explaining quark confinement and for this mechanism to work, the existence of chromomagnetic monopole and their condensation play a leading role to cause the dual Meissner effect. As a theoretical approach to understand the phase structure of QCD, the present paper, deals to present a gauge independent field decomposition formalism in which the QCD potential splits into the non-topological abelian part and the topological monopole part to establish the color confinement and chiral symmetry breaking using Schwinger-Dyson equation (SDE) method
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