Finite Temperature SD Equation for Chiral Symmetry Restoration in Dual Ginzburg-Landau Theory
classification
✦ hep-ph
keywords
chiralequationdualginzburg-landausimeqsymmetrytheoryansatz
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We study the chiral phase transition at $T\neq 0$ in the dual Ginzburg-Landau theory using the Schwinger-Dyson (SD) equation. In order to solve the SD equation at $T\neq 0$, we provide a new ansatz for the quark self-energy in the imaginary-time formalism. The recovery of the chiral symmetry is found at $T_{_{C}}\sim 100 MeV$ with realistic parameters, which are set by reproducing the values of the string tension $\sqrt{\sigma}\simeq 0.44 GeV$ and the chiral condensate $< {\bar q}q > \simeq -(250 MeV}^{3}$ at $T=0$.
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