First mapping of the QCD critical surface in full (T, μ_B, μ_Q, μ_S) space via constant-entropy expansion gives a critical point at (114, 602) MeV in the pure baryon direction, with μ_B,c shifting 40-100 MeV in strangeness-neutral directions while remaining similar in charge-neutral ones.
hub Canonical reference
Bazavov et al., Chiral crossover in QCD at zero and non-zero chemical potentials, 1812.08235
Canonical reference. 80% of citing Pith papers cite this work as background.
19
Pith papers citing it
Background
80% of classified citations
abstract
We present results for pseudo-critical temperatures of QCD chiral crossovers at zero and non-zero values of baryon ($B$), strangeness ($S$), electric charge ($Q$), and isospin ($I$) chemical potentials $\mu_{X=B,Q,S,I}$. The results were obtained using lattice QCD calculations carried out with two degenerate up and down dynamical quarks and a dynamical strange quark, with quark masses corresponding to physical values of pion and kaon masses in the continuum limit. By parameterizing pseudo-critical temperatures as $ T_c(\mu_X) = T_c(0) \left[ 1 -\kappa_2^{X}(\mu_{X}/T_c(0))^2 -\kappa_4^{X}(\mu_{X}/T_c(0))^4 \right] $, we determined $\kappa_2^X$ and $\kappa_4^X$ from Taylor expansions of chiral observables in $\mu_X$. We obtained a precise result for $T_c(0)=(156.5\pm1.5)\;\mathrm{MeV}$. For analogous thermal conditions at the chemical freeze-out of relativistic heavy-ion collisions, i.e., $\mu_{S}(T,\mu_{B})$ and $\mu_{Q}(T,\mu_{B})$ fixed from strangeness-neutrality and isospin-imbalance, we found $\kappa_2^B=0.012(4)$ and $\kappa_4^B=0.000(4)$. For $\mu_{B}\lesssim300\;\mathrm{MeV}$, the chemical freeze-out takes place in the vicinity of the QCD phase boundary, which coincides with the lines of constant energy density of $0.42(6)\;\mathrm{GeV/fm}^3$ and constant entropy density of $3.7(5)\;\mathrm{fm}^{-3}$.
hub tools
citation-role summary
background 4
dataset 1
citation-polarity summary
representative citing papers
Extracts the continuum location of the nearest complex-T singularity from lattice QCD at μ=0 via iterated conformal-Padé and shows its trajectories share the same scaling variables as complex-μ singularities.
Including Fierz-complete four-quark interactions in fRG-QCD shifts the predicted critical endpoint to (T, μ_B) = (102, 647) MeV and slightly increases the phase boundary curvature to κ₂ = 0.0151, while confirming σ and π channels dominate except near the CEP.
Local baryon conservation in a canonical ensemble drives net-proton κ6/κ2 to small or negative values in restricted acceptance, establishing a baseline that must be subtracted before interpreting signals of chiral criticality.
A PINN-trained quasi-parton model reproduces lattice cumulants at vanishing chemical potentials and supplies a consistent four-dimensional QCD equation of state at finite densities.
Continuum-extrapolated lattice QCD simulations with complex Langevin produce the equation of state at high baryon chemical potentials above the crossover temperature at the physical point.
An 't Hooft anomaly at general imaginary baryon chemical potential constrains the QCD chiral transition to three minimal CFT scenarios, with the favored one for N_f >= 3 featuring a conformal manifold of theta_B-dependent universality classes with an exactly marginal operator tied to baryon density.
In the continuum limit, κ_PS, κ_VA and κ_TX are all consistent with zero and with each other down to 164 MeV, implying concurrent chiral and U(1)_A restoration in the quark-connected nonsinglet sector.
Including mesonic fluctuations beyond mean field in the quark-meson-diquark model substantially modifies the phase structure, with diquark condensation dominating at strong couplings as revealed by pole masses and the Silver-Blaze property.
In the random phase approximation, a convenient renormalization scheme for momentum-dependent meson self-energies shows that the moat regime extent in the QCD phase diagram depends critically on in-medium quark-meson interactions.
Multi-differential constraint analysis of Υ(nS) suppression in high-multiplicity pp and pPb collisions favors an early, globally correlated, topology-sensitive mechanism over local-density or total-multiplicity control.
Lattice simulations with Möbius domain-wall fermions find the three-flavor QCD transition at mu_B=0 is a continuous crossover at pseudocritical quark masses of 184(10) MeV (Nt=6), 36-39 MeV (Nt=8), and 3.5-3.7 MeV (Nt=12) in the MSbar scheme.
Uses blast-wave fits to pi, K, and p spectra plus measured K/pi to predict low-pT eta/pi0 ratio, finding eta-decay photon uncertainty of order 10% of direct-photon signal at pT~1 GeV/c in central Pb-Pb at 2.76 TeV.
Isospectral transformations in softwall AdS/QCD allow tuning the rho meson's decay constant to its experimental value of 226 MeV, producing a predicted melting temperature of 157 MeV from spectral function computations at finite temperature and chemical potential.
Lattice simulations with Möbius domain-wall fermions find that conserved charge fluctuations in (2+1)-flavor QCD match hadron resonance gas predictions below the pseudocritical temperature and rise toward free-quark limits above it.
QCD features at least three phases at zero baryon density and three at high density, including a Quarkyonic phase at high density and low temperature, described via large-N_c and a parameter-free 3D string model.
Thermal QCD sum rules with updated inputs yield a suppression hierarchy Υ < J/ψ < B_c for masses and decay constants near Tc, calibrated to vacuum data and consistent with LHCb B_c splitting.
Strangeness neutrality imposes a constraint linking baryon-strangeness correlations to the QCD equation of state, with their dependence on freeze-out conditions computed in a 2+1 flavor Polyakov-quark-meson model using the functional renormalization group.
Parametric study of medium-induced shifts in the GBE quark model for baryon masses and their qualitative effect on ideal-gas yields.
citing papers explorer
-
QCD critical surface from constant entropy contours
First mapping of the QCD critical surface in full (T, μ_B, μ_Q, μ_S) space via constant-entropy expansion gives a critical point at (114, 602) MeV in the pure baryon direction, with μ_B,c shifting 40-100 MeV in strangeness-neutral directions while remaining similar in charge-neutral ones.
-
Analytic structure of the QCD phase diagram in the complex-temperature plane
Extracts the continuum location of the nearest complex-T singularity from lattice QCD at μ=0 via iterated conformal-Padé and shows its trajectories share the same scaling variables as complex-μ singularities.
-
Fierz-complete four-quark interactions and the QCD phase diagram
Including Fierz-complete four-quark interactions in fRG-QCD shifts the predicted critical endpoint to (T, μ_B) = (102, 647) MeV and slightly increases the phase boundary curvature to κ₂ = 0.0151, while confirming σ and π channels dominate except near the CEP.
-
Canonical statistical hadronization with local baryon conservation for higher-order cumulants
Local baryon conservation in a canonical ensemble drives net-proton κ6/κ2 to small or negative values in restricted acceptance, establishing a baseline that must be subtracted before interpreting signals of chiral criticality.
-
Four-dimensional QCD equation of state from a quasi-parton model with physics-informed neural networks
A PINN-trained quasi-parton model reproduces lattice cumulants at vanishing chemical potentials and supplies a consistent four-dimensional QCD equation of state at finite densities.
-
Finite-density equation of state of hot QCD using the complex Langevin equation
Continuum-extrapolated lattice QCD simulations with complex Langevin produce the equation of state at high baryon chemical potentials above the crossover temperature at the physical point.
-
Does hot QCD have a conformal manifold in the chiral limit?
An 't Hooft anomaly at general imaginary baryon chemical potential constrains the QCD chiral transition to three minimal CFT scenarios, with the favored one for N_f >= 3 featuring a conformal manifold of theta_B-dependent universality classes with an exactly marginal operator tied to baryon density.
-
RG-Invariant Symmetry Ratio for QCD: A Study of $U(1)_A$ and Chiral Symmetry Restoration
In the continuum limit, κ_PS, κ_VA and κ_TX are all consistent with zero and with each other down to 164 MeV, implying concurrent chiral and U(1)_A restoration in the quark-connected nonsinglet sector.
-
Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field
Including mesonic fluctuations beyond mean field in the quark-meson-diquark model substantially modifies the phase structure, with diquark condensation dominating at strong couplings as revealed by pole masses and the Silver-Blaze property.
-
Dissecting the moat regime at low energies I: Renormalization and the phase structure
In the random phase approximation, a convenient renormalization scheme for momentum-dependent meson self-energies shows that the moat regime extent in the QCD phase diagram depends critically on in-medium quark-meson interactions.
-
A multi-differential constraint map for quarkonium suppression mechanisms in high-multiplicity pp and pPb collisions
Multi-differential constraint analysis of Υ(nS) suppression in high-multiplicity pp and pPb collisions favors an early, globally correlated, topology-sensitive mechanism over local-density or total-multiplicity control.
-
The QCD phase diagram for three-flavor M\"obius domain-wall fermions
Lattice simulations with Möbius domain-wall fermions find the three-flavor QCD transition at mu_B=0 is a continuous crossover at pseudocritical quark masses of 184(10) MeV (Nt=6), 36-39 MeV (Nt=8), and 3.5-3.7 MeV (Nt=12) in the MSbar scheme.
-
Constraining the Low-$p_T$ $\eta/\pi^0$ Ratio for Direct-Photon Analyses with Blast-Wave Fits to $\pi$, $K$, and $p$ Spectra
Uses blast-wave fits to pi, K, and p spectra plus measured K/pi to predict low-pT eta/pi0 ratio, finding eta-decay photon uncertainty of order 10% of direct-photon signal at pT~1 GeV/c in central Pb-Pb at 2.76 TeV.
-
Thermodynamics of the Isospectral family of holographic vector mesons
Isospectral transformations in softwall AdS/QCD allow tuning the rho meson's decay constant to its experimental value of 226 MeV, producing a predicted melting temperature of 157 MeV from spectral function computations at finite temperature and chemical potential.
-
Quark Number Susceptibilities and Conserved Charge Fluctuations in $(2+1)$-flavor QCD with M\"obius domain-wall fermions (MDWF)
Lattice simulations with Möbius domain-wall fermions find that conserved charge fluctuations in (2+1)-flavor QCD match hadron resonance gas predictions below the pseudocritical temperature and rise toward free-quark limits above it.
-
Two Lectures on the Phase Diagram of QCD
QCD features at least three phases at zero baryon density and three at high density, including a Quarkyonic phase at high density and low temperature, described via large-N_c and a parameter-free 3D string model.
-
Mass and Decay-Constant Evolution of Heavy Quarkonia and $B_c$ States from Thermal QCD Sum Rules
Thermal QCD sum rules with updated inputs yield a suppression hierarchy Υ < J/ψ < B_c for masses and decay constants near Tc, calibrated to vacuum data and consistent with LHCb B_c splitting.
-
Strangeness neutrality and the QCD phase diagram
Strangeness neutrality imposes a constraint linking baryon-strangeness correlations to the QCD equation of state, with their dependence on freeze-out conditions computed in a 2+1 flavor Polyakov-quark-meson model using the functional renormalization group.
-
Light and Strange Baryons in Medium
Parametric study of medium-induced shifts in the GBE quark model for baryon masses and their qualitative effect on ideal-gas yields.