Separation of chiral and deconfinement phase transitions in curved space-time

Abstract

We calculated the chiral condensate and the dressed Polyakov loop in the space-time R × S3 and R × H3. 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. Copyright © Progress of Theoretical Physics 2012.