Lee-Yang zeros in lattice QCD for searching phase transition points

Abstract

We report Lee-Yang zeros behavior at finite temperature and density. The quark number densities, <n>, are calculated at the pure imaginary chemical potential, where no sign problem occurs. Then, the canonical partition functions, Z_C(n,T,V), up to some maximal values of n are estimated through fitting theoretically motivated functions to <n>, which are used to compute the Lee-Yang zeros. We study the temperature dependence of the distributions of the Lee-Yang zeros around the pseudo-critical temperature region T/T_c = 0.84 - 1.35. In the distributions of the Lee-Yang zeros, we observe the Roberge-Weiss phase transition at T/T_c >= 1.20. We discuss the dependence of the behaviors of Lee-Yang zeros on the maximal value of n, so that we can estimate a reliable infinite volume limit.

arXiv comment8 pages, 8 figures and 2 tables

References in corpus (27)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• Higher Moments of Net-proton Multiplicity Distributions at RHIC
• Canonical partition function and finite density phase transition in lattice QCD
• Finite density QCD with a canonical approach
• The QCD equation of state at finite density from analytical continuation
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• The Lee-Yang theory of equilibrium and nonequilibrium phase transitions
• Equation of State and Heavy-Quark Free Energy at Finite Temperature and Density in Two Flavor Lattice QCD with Wilson Quark Action
• Lee-Yang zero analysis for the study of QCD phase structure
• The Critical Points of Strongly Coupled Lattice QCD at Nonzero Chemical Potential
• 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
• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• New approach to canonical partition functions computation in $N_f=2$ lattice QCD at finite baryon density
• Sign problem in finite density lattice QCD
• Search for the QCD Critical Point by Higher Moments of Net-proton Multiplicity Distributions at STAR
• Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses
• Probing QCD Phase Structure by Baryon Multiplicity Distribution
• Finite density (might well be easier) at finite temperature
• 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
• 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
• Lattice QCD thermodynamics at finite chemical potential and its comparison with Experiments
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution

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• Uniformizing Lee-Yang Singularities
• Path optimization for $U(1)$ gauge theory with complexified parameters
• From Hagedorn to Lee-Yang: Partition functions of $\mathcal{N}=4$ SYM theory at finite $N$
• Search of QCD phase transition points in the canonical approach of the NJL model
• Numerical Study of the Roberge-Weiss Transition
• Lee-Yang theory of quantum phase transitions with neural network quantum states
• The use of the canonical approach in effective models of QCD
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• Universality, Lee-Yang singularities and series expansions
• Taylor expansion and the Cauchy Residue Theorem for finite-density QCD
• Canonical partition function and center symmetry breaking in finite density lattice gauge theories