Separation of Chiral and Deconfinement Phase Transitions in Curved Space-Time

Abstract

We calculated the chiral condensate and th ed ressed Polyakov loop in the space-time R × S 3 and R × H 3 . The chiral condensate is the order parameter for the chiral phase transition, whereas the dressed Polyakov loop is the order parameter for the deconfinement phase transition. When there is a current mass, critical points for the chiral and deconfinement phase transitions are different in the crossover region. We show that the difference is changed by the gravitational effect. Subject Index: 160, 169, 436