Thermal and curvature effects to dynamical symmetry breaking

Details Thermal and curvature effects to dynamical symmetry breaking Thermal and curvature effects to dynamical symmetry breaking

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvd..56.5097i&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 56, Issue 8, 15 October 1997, pp.5097-5107

Physics

10

Finite-Temperature Field Theory, Quantum Field Theory In Curved Spacetime, Spontaneous And Radiative Symmetry Breaking

Scientific paper

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⊗SD-1 or on negative curvature space R⊗HD-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.

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