Finite-size scaling around the critical point in the heavy quark region of QCD

Abstract

Finite-size scaling is investigated in detail around the critical point in the heavy-quark region of nonzero temperature QCD. Numerical simulations are performed with large spatial volumes up to the aspect ratio $N_s/N_t=12$ at a fixed lattice spacing with $N_t=4$. We show that the Binder cumulant and the distribution function of the Polyakov loop follow the finite-size scaling in the $Z(2)$ universality class for large spatial volumes with $N_s/N_t\ge 9$, while, for $N_s/N_t\le 8$, the Binder cumulant becomes inconsistent with the $Z(2)$ scaling. To realize the large-volume simulations in the heavy-quark region, we adopt the hopping parameter expansion for the quark determinant: We generate gauge configurations using the leading order action including the Polyakov loop term for $N_t=4$, and incorporate the next-to-leading order effects in the measurements by the multipoint reweighting method. We find that the use of the leading-order configurations is crucially effective in suppressing the overlapping problem in the reweighting and thus reducing the statistical errors.

arXiv comment17 pages, 28 figures, version to appear in Physical Review D

References in corpus (28)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Critical Phenomena and Renormalization-Group Theory
• Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• QCD Thermodynamics with Three Flavors of Improved Staggered Quarks
• On the magnetic equation of state in (2+1)-flavor QCD
• The QCD deconfinement transition for heavy quarks and all baryon chemical potentials
• The Chiral Critical Point in 3-Flavour QCD
• Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction
• QCD and the Chiral Critical Point
• Chiral phase structure of three flavor QCD at vanishing baryon number density
• Phase structure of finite temperature QCD in the heavy quark region
• The Deconfinement Phase Transition in One-Flavour QCD
• Finite Temperature Transitions in Lattice QCD with Wilson Quarks --- Chiral Transitions and the Influence of the Strange Quark ---
• Nature of the phase transition for finite temperature $N_{\mathrm{f}}=3$ QCD with nonperturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=12$
• Study of the finite temperature transition in 3-flavor QCD using the R and RHMC algorithms
• Histograms in heavy-quark QCD at finite temperature and density
• Phase structure of lattice QCD at finite temperature for 2+1 flavors of Kogut-Susskind quarks
• Deconfinement critical point of lattice QCD with $N_{\mathrm{f}}=2$ Wilson fermions
• Critical point phase transition for finite temperature 3-flavor QCD with non-perturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=10$
• End point of the first-order phase transition of QCD in the heavy quark region by reweighting from quenched QCD
• Latent heat and pressure gap at the first-order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method
• Multipoint reweighting method and its applications to lattice QCD
• Exploring the nature of chiral phase transition in two-flavor QCD using extra heavy quarks
• Finite size scaling study of $N_{\text{f}}=4$ finite density QCD on the lattice
• QCD Phase Transition with Strange Quark in Wilson Formalism for Fermions

Cited by in corpus (11)

• QCD phase transitions in the light quark chiral limit
• Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
• Latent heat and pressure gap at the first-order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method
• Machine learning phase transitions of the three-dimensional Ising universality class
• Scope and convergence of the hopping parameter expansion in finite temperature QCD with heavy quarks around the critical point
• Locating Critical Points Using Ratios of Lee-Yang Zeros
• Lee-Yang-zero ratio method in three-dimensional Ising model
• Canonical partition function and center symmetry breaking in finite density lattice gauge theories
• Finite-size effects and scaling properties of chiral and baryon-number fluctuations
• Phase structure of heavy dense lattice QCD and the three-state Potts model
• From lattice to observables: Real and virtual experiments for exploring hot and dense QCD