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Nambu-Jona-Lasinio model in four dimensions at finite temperatures; chemical potential and curvature

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The two-flavour Nambu-Jona-Lasinio model with N components is studied in curved spacetime at finite temperature and density in the leading 1/N expansion. In four spacetime dimensions the model exhibits a first-order phase transition for positive curvature. Whereas in flat space an increase in temperature induces a second-order phase transition even at finite density, in curved space the transition becomes first order. We obtain the phase boundary in density-temperature plane and exhibit its behaviour with changing curvature. A three-dimensional plot of the phase boundary in -T-R space is drawn.

Document Type: Miscellaneous

Affiliations: 1: Department of Physics and Astrophysics, University of Delhi, Delhi-110 007, India 2: Inter-University Centre for Astronomy and Astrophysics, Ganeshkhind, Pune 411007, India

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