Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-06-12
Phys.Lett. B387 (1996) 145-150
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, revtex (4 figures - available on request from ssasaki@rcnp.osaka-u.ac.jp)
Scientific paper
10.1016/0370-2693(96)01020-9
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 $\langle {\bar q}q \rangle^{1/3} \stackrel{\propto}{\scriptstyle \sim} \sqrt{\sigma}$. 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; $T_{_{C}}\sim 100{\rm MeV}$ 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.
Sasaki Shoichi
Suganuma Hideo
Toki Hiroshi
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