2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185083Two flavor Nambu-Jona-Lasinio model with N components is studied in curved space time at finite temperature and density in the leading 1/N expansion. In four space time dimension the model exhibits 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 behavior with changing curvature. A three dimensional plot of the phase boundary in $μ$-T-R space is drawn.LaTex2e file with 7 postscript figures, 18 pagesHigh Energy Physics - PhenomenologyNJL model in Four Dimension at Finite Temperature, Chemical Potentialand Curvaturetext