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Chiral symmetry at finite temperatures and densities in the Coulomb gauge
Phys. Rev. D 38, 2000 – Published 15 September, 1988
DOI: https://doi.org/10.1103/PhysRevD.38.2000
Abstract
The gap equation at finite temperatures and densities obtained from the Schwinger-Dyson equation in the ladder approximation to the QCD Hamiltonian in the Coulomb gauge is solved numerically for several potential models. Critical temperatures for chiral-symmetry restoration and critical lines in the T-μ plane are obtained showing the conditions for symmetry restoration. The 〈ψ¯ψ〉 order parameter is evaluated for various potentials and the agreement with experiment is found to be within 15% for the case of a confining plus an attractive Coulomb potential when the string tension √σ is taken to be 350 MeV.
References (17)
- M. Creutz, Quarks, Gluons and Lattices (Cambridge University Press, Cambridge, England, 1983).
- S. Adler and A. Davies, Nucl. Phys. B244, 469 (1984).
- M. Fukugita, S. Ohta and A. Ukawa, Phys. Rev. Lett. 60, 178 (1988).
- A. Kocic, Phys. Rev. D 33, 1785 (1986).
- A. Davis and A. Matheson, Nucl. Phys. B246, 203 (1984).
- L. Dolan and R. Jackiw, Phys. Rev. D 9, 3320 (1974).
- J. Finger and J. Mandula, Nucl. Phys. B199, 168 (1982).
- A. Barducci, R. Casalbuoni, S. DeCurtis, D. Dominici and R. Gatto, Phys. Rev. D 38, 238 (1988).
- J. Cornwall, R. Jackiw and E. Tomboulis, Phys. Rev. D 10, 2428 (1974).
- A. Le Yaouanc, L. Oliver, O. P e ga_ne and J. Raynal, Phys. Rev. D 29, 1233 (1984).
- D. Gross and R. Pisarski, Rev. Mod. Phys. 53, 43 (1981).
- R. Pisarski and O. Alvarez, Phys. Rev. D 26, 3735 (1982).
- R. Pisarski, Phys. Rev. D 29, 1222 (1984).
- E. Eichten, K. Gottfried, T. Kinoshita, K. D. Lane and T. M. Yan, Phys. Rev. D 21, 203 (1980).
- A. Moreo, Phys. Rev. D 35, 1442 (1987).
- A. Amer, A. Le Yaouanc, L. Oliver, O. P e ga_ne and J. Raynal, Phys. Rev. D 28, 1530 (1983).
- J. Govaerts, J. Mandula and J. Weyers, Nucl. Phys. B237, 59 (1984).