The separation of the chiral and deconfinement phase transitions in the curved space-time

Abstract

We calculated the chiral condensate and the dressed Polyakov loop in the space-time $R\times S^3$ and $R\times H^3$. The chiral condensate is the order parameter for the chiral phase transition, and 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.

Comments: 14 pages, 14 figures