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

TL;DR

This paper investigates how curved space-time influences the separation of chiral and deconfinement phase transitions by calculating relevant order parameters in specific geometries.

Contribution

It introduces the analysis of chiral and deconfinement transitions in curved space-time, revealing gravitational effects on their critical points.

Findings

Critical points differ in crossover regions with current mass.

Gravitational effects alter the separation of phase transitions.

Chiral and deconfinement transitions are affected by space-time curvature.

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.