Temperature induced phase transitions in four fermion models in curved space-time

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file, 24 pages, 3 eps figures. Minor corrections. To appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(99)00212-6

The large N limit of the Gross-Neveu model is here studied on manifolds with constant curvature, at zero and finite temperature. Using the zeta-function regularization, the phase structure is investigated for arbitrary values of the coupling constant. The critical surface where the second order phase transition takes place is analytically found for both the positive and negative curvature cases. For negative curvature, where the symmetry is always broken at zero temperature, the mass gap is calculated. The free energy density is evaluated at criticality and the zero curvature and zero temperature limits are discussed.

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