Thermal and curvature effects to dynamical symmetry breaking

Journal Article · Wed Oct 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.5097· OSTI ID:632704

Inagaki, T ^[1]; Ishikawa, K ^[2]

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1. Institute for Cosmic Ray Research, University of Tokyo, Tanashi, Tokyo 188 (Japan)
2. Department of Physics, Hiroshima University, Higashi-Hiroshima, Hiroshima 739 (Japan)

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 R{circle_times}S{sup D{minus}1} or on negative curvature space R{circle_times}H{sup D{minus}1} 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. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 632704
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 8 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
COSMOLOGY
FERMI INTERACTIONS
GRAND UNIFIED THEORY
INFLATIONARY UNIVERSE
PHASE TRANSFORMATIONS
POTENTIALS
SYMMETRY BREAKING