The use of the canonical approach in effective models of QCD

Abstract

We clarify regions where the canonical approach works well at the finite temperature and density in the Nambu-Jona-Lasinio (NJL) and Polyakov-NJL (PNJL) models. The canonical approach is a useful method for avoiding the sign problem in lattice QCD simulations at finite density, but it involves some parameters. We find that number densities computed from the canonical approach are consistent with exact values in most of the confinement phase within the parameters, which are applicable in lattice QCD.

9 pages, 10 figures and 2 tables

References in corpus (7)

• Canonical partition function and finite density phase transition in lattice QCD
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Finite density QCD with a canonical approach
• Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method
• Generalized quark number susceptibilities from fugacity expansion at finite chemical potential for $N_f$ = 2 Wilson fermions
• Search of QCD phase transition points in the canonical approach of the NJL model

Cited by in corpus (4)

• Numerical Study of the Roberge-Weiss Transition
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• Anatomy of the dense QCD matter from canonical sectors
• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature