Role of Dual Higgs Mechanism in Chiral Phase Transition at Finite Temperature

Abstract

The chiral phase transition at finite temperature is studied by using the Schwinger-Dyson equation in the dual Ginzburg-Landau theory, in which the dual Higgs mechanism plays an essential role on both the color confinement and the spontaneous chiral-symmetry breaking. At zero temperature, the quark condensate is strongly correlated with the string tension, which is generated by QCD-monopole condensation, as $⟨\bar{q}q{⟩}^{1/3}\stackrel{\propto }{\sim }\sqrt{\sigma }$. In order to solve the finite-temperature Schwinger-Dyson equation numerically, we provide a new ansatz for the quark self-energy in the imaginary-time formalism. The recovery of the chiral symmetry is found at high temperature; $T_{{}_C}\sim 100\mathrm{MeV}$ with realistic parameters. We find also a strong correlation between the critical temperature $T_{{}_C}$ of the chiral symmetry restoration and the strength of the string tension.

12 pages, revtex (4 figures - available on request from [email protected])

References in corpus (4)

• Color Confinement, Quark Pair Creation and Dynamical Chiral-Symmetry Breaking in the Dual Ginzburg-Landau Theory
• Chiral Symmetry Breaking in Abelian-Projected SU(2) Lattice Gauge Theory
• Hadron Properties just before Deconfinement
• QCD Phase Transition at Finite Temperature in the Dual Ginzburg-Landau Theory

Cited by in corpus (10)

• Charmonium properties in deconfinement phase in anisotropic lattice QCD
• Semi-analytical Proof of Abelian Dominance on Confinement in the Maximally Abelian Gauge
• Quark Confinement Physics from Quantum Chromodynamics
• Surface Tension in the Mixed Phase of QCD in the Dual Ginzburg-Landau Theory
• Dynamical chiral-symmetry breaking at T=0 and $T\ne 0$ in the Schwinger-Dyson equation with lattice QCD data
• Monopole Clustering and Color Confinement in the Multi-Instanton System
• Correlation between Confinement and Chiral-Symmetry Breaking in the Dual Higgs Theory
• Chiral phase transition at high temperature in the QCD-like gauge theory
• Infrared Abelian Dominance and Dual Higgs Mechanism in Maximally Abelian Gauge
• Landau Potential Study of the Chiral Phase Transition in a QCD-Like Theory