Lattice-based equation of state with a critical point from constant entropy contours and its comparison to effective QCD approaches

2026/01/31 by Hitansh Shah, Mauricio Hippert, Jorge Noronha +2
Physics and Astronomy · #hep-ph #nucl-th

paper · pdf · doi:10.1103/3jjq-ykkg

published as Phys. Rev. D 114, 034501 (2026) · 19 pages, 13 figures

arxiv created 2026/08/05 · arxiv updated 2026/08/07

Abstract

In this work, we systematically assess the performance of a new method from [H. Shah et al., Phys. Rev. C 113, L012201] for locating the QCD critical point using constant-entropy contours by testing it against various effective QCD approaches. We demonstrate that, while the method yields spurious critical points in purely hadronic models (HRG) due to non-parabolic contour behavior at low temperatures (T \lesssim 120 MeV), it accurately reproduces the CP location in frameworks that feature a genuine phase transition and benchmarked against lattice QCD, such as Holographic Einstein-Maxwell-Dilaton, and Functional QCD approaches. Building on our previous determination of constant entropy contours using lattice data, we extend that analysis to construct a complete Lattice-based Equation of State (EoS) at finite density, which features a critical point at (T, μ_B) ≈ (114, 602) MeV. By integrating the extrapolated entropy density with respect to temperature, we reconstruct the pressure, baryon density, susceptibility, and speed of sound in the critical region, and analyze the focusing behavior of isentropic trajectories in the vicinity of the critical point.

Citations

• Exploring the QCD phase diagram through correlations and fluctuations
• Lee--Yang edge singularities in Nonlocal Nambu--Jona-Lasinio Model
• High-precision baryon number cumulants from lattice QCD in a finite box: cumulant ratios, Lee-Yang zeros and critical endpoint predictions
• Finite density signatures of confining and chiral dynamics in QCD thermodynamics and fluctuations of conserved charges
• Challenges in locating the QCD critical point via constant entropy density contours
• A new 4D lattice QCD equation of state: extended density coverage from a generalized T^′-expansion
• Precision Measurement of (Net-)proton Number Fluctuations in Au+Au Collisions at RHIC
• Lattice QCD constraints on the critical point from an improved precision equation of state
• Locating the QCD critical point through contours of constant entropy density
• Searching for the QCD critical endpoint using multi-point Padé approximations
• Locating the critical point for the hadron to quark-gluon plasma phase transition from finite-size scaling of proton cumulants in heavy-ion collisions
• Refining holographic models of the quark-gluon plasma
• Exploring Transport Properties of Quark-Gluon Plasma in Flavor-Dependent Systems with a Holographic Model
• Revisiting holographic model for thermal and dense QCD with a critical point
• Finite density QCD equation of state: critical point and lattice-based T'-expansion
• Machine learning holographic black hole from lattice QCD equation of state
• Lee-Yang edge singularities in QCD via the Dyson-Schwinger Equations
• Thermodynamics of an updated hadronic resonance list and influence on hadronic transport
• QCD at finite temperature and density within the fRG approach: an overview
• Constraining the hadronic spectrum and repulsive interactions in a hadron resonance gas via fluctuations of conserved charges
• Locating the critical endpoint of QCD: mesonic backcoupling effects
• Universality, Lee-Yang singularities and series expansions
• Non-monotonic energy dependence of net-proton number fluctuations
• Hot and dense quark-gluon plasma thermodynamics from holographic black holes
• Lattice QCD equation of state at finite chemical potential from an alternative expansion scheme
• Chiral phase structure and critical end point in QCD
• Far-from-equilibrium search for the QCD critical point
• The QCD crossover at finite chemical potential from lattice simulations
• Traces of the nuclear liquid-gas phase transition in the analytic properties of hot QCD
• The QCD phase structure at finite temperature and density
• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• QCD equation of state at finite baryon density with fugacity expansion
• Lattice-based equation of state at finite baryon number, electric charge and strangeness chemical potentials
• Thermal-FIST: A package for heavy-ion collisions and hadronic equation of state
• Chiral crossover in QCD at zero and non-zero chemical potentials
• Strangeness Neutrality and QCD Thermodynamics
• Lattice-based QCD equation of state at finite baryon density: Cluster Expansion Model
• Hydro+: hydrodynamics with parametric slowing down and fluctuations near the critical point
• Cluster Expansion Model for QCD Baryon Number Fluctuations: No Phase Transition at μ_B / T < π
• Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential
• Multicomponent van der Waals equation of state: Applications in nuclear and hadronic physics
• Critical point in the phase diagram of primordial quark-gluon matter from black hole physics
• Holographic QCD phase diagram with critical point from Einstein-Maxwell-dilaton dynamics
• New scenarios for hard-core interactions in a hadron resonance gas
• van der Waals Interactions in Hadron Resonance Gas: From Nuclear Matter to Lattice QCD
• The QCD equation of state at finite density from analytical continuation
• Arguing on Entropic and Enthalpic First-Order Phase Transitions in Strongly Interacting Matter
• Fluid dynamic propagation of initial baryon number perturbations on a Bjorken flow background
• Fluctuations and correlations in high temperature QCD
• Van der Waals Equation of State with Fermi Statistics for Nuclear Matter
• Particle Number Fluctuations for van der Waals Equation of State
• Hadron Resonance Gas Equation of State from Lattice QCD
• Non-equilibrium phase transition in relativistic nuclear collisions: Importance of the equation of state
• Full result for the QCD equation of state with 2+1 flavors
• Spinodal density enhancements in simulations of relativistic nuclear collisions
• Event-by-event anisotropic flow in heavy-ion collisions from combined Yang-Mills and viscous fluid dynamics
• Dynamic critical phenomena at a holographic critical point
• A holographic critical point
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
• The QCD transition temperature: results with physical masses in the continuum limit II.
• QCD Phenomenology based on a Chiral Effective Lagrangian
• Exact evolution equation for the effective potential
• Excluded volume effect for the nuclear matter equation of state