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Finite Temperature SD Equation for Chiral Symmetry Restoration in Dual Ginzburg-Landau Theory

Shoichi Sasaki·Hideo Suganuma·Hiroshi Toki
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Abstract

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 $\sqrtσ\simeq 0.44 GeV$ and the chiral condensate $< {\bar q}q > \simeq -(250 MeV}^{3}$ at $T=0$.

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Shoichi Sasaki, Hideo Suganuma, Hiroshi Toki. 1996-10-23. Finite Temperature SD Equation for Chiral Symmetry Restoration in Dual Ginzburg-Landau Theory. https://arxiv.org/abs/hep-ph/9609505

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