Search of QCD phase transition points in the canonical approach of the NJL model

Abstract

We study the Lee-Yang zeros in the canonical approach to search phase transition points at finite temperature and density in the Nambu-Jona-Lasinio (NJL) model as an effective model of QCD. The canonical approach is a promising method to avoid the sign problem in lattice QCD at finite density. We find that a set of Lee-Yang zeros computed with finite degrees of freedom can be extrapolated to those with infinite degrees of freedom, providing the correct phase transition point. We propose the present method as a useful method for actual lattice simulations for QCD.

arXiv comment7 pages, 7 figures and 1 table

References in corpus (16)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• QCD Phenomenology based on a Chiral Effective Lagrangian
• Canonical partition function and finite density phase transition in lattice QCD
• Finite density QCD with a canonical approach
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• Critical point of $N_f=3$ QCD from lattice simulations in the canonical ensemble
• Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method
• New approach to canonical partition functions computation in $N_f=2$ lattice QCD at finite baryon density
• Sign problem in finite density lattice QCD
• Properties of canonical determinants and a test of fugacity expansion for finite density lattice QCD with Wilson fermions
• QCD phase transition at real chemical potential with canonical approach
• Lee-Yang zeros in lattice QCD for searching phase transition points
• Canonical approach to finite density QCD with multiple precision computation
• Generalized quark number susceptibilities from fugacity expansion at finite chemical potential for $N_f$ = 2 Wilson fermions

Cited by in corpus (5)

• From Hagedorn to Lee-Yang: Partition functions of $\mathcal{N}=4$ SYM theory at finite $N$
• The use of the canonical approach in effective models of QCD
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• Anatomy of the dense QCD matter from canonical sectors
• Phase structures of neutral dense quark matter and application to strange stars