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.

arXiv comment14 pages, 14 figures

References in corpus (2)

• Nambu-Jona-Lasinio Model in Curved Space-Time
• Chiral Phase Structure at Finite Temperature and Density in Einstein Universe

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• Lattice gauge theory and gluon color-confinement in curved spacetime
• Quantum Monte Carlo simulation with a black hole
• Gravitating bubbles of gluon plasma above deconfinement temperature
• Fate of chiral symmetry in Riemann-Cartan geometry