QCD equation of state matched to lattice data and exhibiting a critical point singularity
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:F6I76NCQrecord.jsonopen to challenge →
read the original abstract
We construct a family of equations of state for QCD in the temperature range 30 MeV $\leq T\leq$ 800 MeV and in the chemical potential range $0\leq \mu_B \leq$ 450 MeV. These equations of state match available lattice QCD results up to $\mathcal{O}(\mu_B^4)$ and in each of them we place a critical point in the 3D Ising model universality class. The position of this critical point can be chosen in the range of chemical potentials covered by the second Beam Energy Scan at RHIC. We discuss possible choices for the free parameters, which arise from mapping the Ising model onto QCD. Our results for the pressure, entropy density, baryon density, energy density and speed of sound can be used as inputs in the hydrodynamical simulations of the fireball created in heavy ion collisions. We also show our result for the second cumulant of the baryon number in thermal equilibrium, displaying its divergence at the critical point. In the future, comparisons between RHIC data and the output of the hydrodynamic simulations, including calculations of fluctuation observables, built upon the model equations of state that we have constructed may be used to locate the critical point in the QCD phase diagram, if there is one to be found.
This paper has not been read by Pith yet.
Forward citations
Cited by 9 Pith papers
-
Symmetry Energy Expansion with Strange Dense Matter
A redefinition of the symmetry energy expansion that incorporates finite strangeness consistent with SU(3) flavor symmetry and remains valid beyond typical neutron-star central densities.
-
Cumulant dynamics in finite-memory diffusion
Finite current relaxation introduces memory effects that suppress, shift, and reshape non-monotonic cumulant behavior relative to instantaneous equilibrium and Fickian diffusion, most visibly in higher-order cumulants.
-
Equation of State at High Baryon Densities from a Thermodynamically Informed Neural Network
A thermodynamically consistent neural-network equation of state for QCD matter at finite temperature and conserved charges that matches known low-density results and extrapolates to high baryon densities for use in re...
-
Unified Functional-Holographic Theory of the QCD Critical End Point
A coupled DSE-FRG-holographic model predicts the QCD critical end point at T_CEP approximately 130-135 MeV and mu_B,CEP approximately 600 MeV, with sensitivity to regulator and normalization choices.
-
Chiral first order phase transition at finite baryon density and zero temperature from self-consistent pole masses in the linear sigma model with quarks
In the two-flavor linear sigma model with quarks, the chiral phase transition at T=0 is first order and occurs at a quark chemical potential equal to the vacuum quark mass.
-
Scaling of the Surface Free Energy as a Probe of the QCD Critical Region
In a constructed QCD equation of state incorporating surface energy, critical exponents require temperature within 1% of the critical value, casting doubt on their measurability in heavy ion experiments.
-
Equation of State at High Baryon Densities from a Thermodynamically Informed Neural Network
A physics-informed neural network produces a thermodynamically consistent 4D equation of state for QCD matter that reproduces lattice QCD and hadron resonance gas results while extrapolating to high baryon density for...
-
Lee-Yang zeros and edge singularity in a mean-field approach
The study analyzes temperature dependence of Lee-Yang zeros and edge singularities in a finite-volume mean-field QCD model and compares finite-size scaling methods for identifying the critical point.
-
Studying the QCD Matter produced in Heavy-Ion Collisions using the MUSES Calculation Engine
The MUSES Calliope engine computes multi-dimensional QCD equations of state, merges them consistently, and feeds them into viscous hydrodynamic simulations of heavy-ion collisions with movable critical points and crit...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.