Thermal and curvature effects to dynamical symmetry breaking

Tomohiro Inagaki and Ken-ichi Ishikawa
Phys. Rev. D 56, 5097 – Published 15 October 1997
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Abstract

We investigate the thermal and curvature effects to dynamical symmetry breaking in a four-fermion model. The effective potential is evaluated in the leading order of the 1/N expansion at finite temperature on positive curvature space RSD1 or on negative curvature space RHD1 with varying temperature and curvature. We argue the combined effects of the temperature and curvature to the phase structure. The broken chiral symmetry is restored for a sufficiently high temperature and/or large positive curvature. The negative curvature enhances the chiral symmetry breaking. It is found that the thermal effect restores the symmetry at high temperature even in negative curvature spacetime.

  • Received 8 November 1996

DOI:https://doi.org/10.1103/PhysRevD.56.5097

©1997 American Physical Society

Authors & Affiliations

Tomohiro Inagaki

  • Institute for Cosmic Ray Research, University of Tokyo, Tanashi, Tokyo 188, Japan

Ken-ichi Ishikawa

  • Department of Physics, Hiroshima University, Higashi-Hiroshima, Hiroshima 739, Japan

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Issue

Vol. 56, Iss. 8 — 15 October 1997

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