The phase diagram of dense QCD

Abstract

Current status of theoretical researches on the QCD phase diagram at finite temperature and baryon chemical potential is reviewed with special emphasis on the origin of various phases and their symmetry breaking patterns. Topics include; quark deconfinement, chiral symmetry restoration, order of the phase transitions, QCD critical point(s), colour superconductivity, various inhomogeneous states and implications from QCD-like theories.

48 pages; 15 figures; 4 tables; review submitted to Reports on Progress in Physics; some discussions clarified and updated in the revision

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• Deconfinement in dense 2-color QCD
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• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
• In-medium chiral condensate beyond linear density approximation
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Electric and Magnetic Screening Masses at Finite Temperature from Generalized Polyakov-Line Correlations in Two-flavor Lattice QCD
• Deconfinement and chiral transition with the highly improved staggered quark (HISQ) action
• The finite temperature QCD using 2+1 flavors of domain wall fermions at N_t = 8
• Probing the finite temperature phase transition with Nf=2 nonperturbatively improved Wilson fermions
• Vector-type four-quark interaction and its impact on QCD phase structure
• Chromomagnetic Instability and Induced Magnetic Field in Neutral Two-Flavor Color Superconductivity
• Characterizing the Larkin-Ovchinnikov-Fulde-Ferrel phase induced by the chromomagnetic instability
• Chromomagnetic stability of the three flavor Larkin-Ovchinnikov-Fulde-Ferrell phase of QCD
• Chiral condensate in neutron matter
• The Approach to the Thermodynamic Limit in Lattice QCD at μ\neq0
• U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface
• Gluonic phase versus LOFF phase in two-flavor quark matter
• The axial anomaly and the phases of dense QCD
• Instability of a gapless color superconductor with respect to inhomogeneous fluctuations
• Thermodynamics of two-flavor lattice QCD with an improved Wilson quark action at non-zero temperature and density
• Spectral Continuity in Dense QCD
• Effects of QCD phase transition on gravitational radiation from two-dimensional collapse and bounce of massive stars
• Glueballs and the superfluid phase of Two-Color QCD
• Chiral Symmetry and Heavy-Ion Collisions
• NJL model of homogeneous neutral quark matter: Pseudoscalar diquark condensates revisited
• Finite Density Simulations with Canonical Ensemble
• The phase diagram of neutral quark matter with pseudoscalar condensates in the color-flavor locked phase
• Gluonic phases and phase diagram in neutral two flavor dense QCD
• Lattice QCD and dense quark matter
• Is gluonic color-spin locked phase stable?
• QCD phase diagram at high temperature and density
• QCD Thermodynamics: Confronting the Polyakov-Quark-Meson Model with Lattice QCD
• The nuclear liquid gas phase transition and phase coexistence: A review

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• EoS for massive neutron stars
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• Second-order and Fluctuation-induced First-order Phase Transitions with Functional Renormalization Group Equations
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
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• Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation
• The phase structure of QCD
• Histograms in heavy-quark QCD at finite temperature and density
• Modeling the diffusive dynamics of critical fluctuations near the QCD critical point
• Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
• Strongly Interacting Fermions and Phases of the Casimir Effect
• Effective repulsion in dense quark matter from non-perturbative gluon exchange
• Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model
• Variational Monte Carlo simulation with tensor networks of a pure ${\mathbb{Z}}_3$ gauge theory in (2+1)d
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• The Wigner Solution and QCD Phase Transitions in a Modified PNJL Model
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• Cold QCD at finite isospin density: confronting effective models with recent lattice data
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
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• Hypermassive quark cores
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• Exploring thermal effects of the hadron-quark matter transition in neutron star mergers
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• Emergent Hadrons and Diquarks
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• Phases of Gauge Theories
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• Ginzburg-Landau phase diagram of QCD near chiral critical point - chiral defect lattice and solitonic pion condensate -
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• Baryon chemical potential and in-medium properties of BPS skyrmions
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• Canonical approach to finite density QCD with multiple precision computation
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• Thermodynamical phases in a PNJL model at zero temperature
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• Hall effect in the presence of rotation
• Inhomogeneous confinement and chiral symmetry breaking induced by imaginary angular velocity
• QCD Kondo excitons
• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
• Probing dense QCD matter in the laboratory: The CBM experiment at FAIR
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• Schwinger mechanism in the SU(3) Nambu--Jona-Lasinio model with an electric field
• Anomaly inflow on QCD axial domain-walls and vortices
• Quark-Hadron Phase-Transition in an Extended NJL Model with Scalar-Vector Interaction
• Spontaneous magnetization under a pseudovector interaction between quarks in high density quark matter
• Nontopological Soliton in the Polyakov Quark Meson Model
• Critical temperature of deconfinement in a constrained space using a bag model at vanishing baryon density
• Deconfinement transition and Black Holes
• How confinement may affect technicolor?
• Vector and axial-vector meson properties in a nonlocal SU(2) PNJL model
• Estimation of electric field in intermediate-energy heavy-ion collisions
• Chemical freeze-out parameters in Beam Energy Scan Program of STAR at RHIC
• Chiral phase transition of a dense, magnetized and rotating quark matter
• Analytical studies of the complex Langevin equation with a Gaussian Ansatz and multiple solutions in the unstable region
• Comprehensive simulation of heavy-ion collisions at non-zero baryon chemical potential
• Probing the incompressibility of dense hadronic matter near QCD phase transition in relativistic heavy-ion collisions
• Interplay between Spin Polarization and Color Superconductivity in High Density Quark Matter
• Scalable, ab initio protocol for quantum simulating SU($N$)$\times$U(1) Lattice Gauge Theories
• Higgs-confinement continuity and matching of Aharonov-Bohm phases
• Gauged Gaussian PEPS -- A High Dimensional Tensor Network Formulation for Lattice Gauge Theories
• Pileup Correction on Higher-order Cumulants with Unfolding Approach
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Large N lattice QCD and its extended strong-weak connection to the hypersphere
• Supersymmetric Lifshitz-like backgrounds from N=4 SYM with heavy quark density
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Lattice QCD with mismatched Fermi surfaces
• Asymmetric pairing of realistic mass quarks and color neutrality in the Polyakov--Nambu--Jona-Lasinio model of QCD
• Momentum scale dependence of the net quark number fluctuations near chiral crossover
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Thermodynamic Geometry of the Quark-Meson Model
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• Scale and confinement phase transitions in scale invariant $SU(N)$ scalar gauge theory
• Wilson Loops and Area Laws in Lattice Gauge Theory Tensor Networks
• Photon Self-Energy and Electric Susceptibility in a Magnetized Three-flavor Color Superconductor
• Self-similarity of negative particle production from the Beam Energy Scan Program at STAR
• Isolating dynamical net-charge fluctuations
• Chiral symmetry restoration and properties of Goldstone bosons at finite temperature
• BCS-BEC Crossover and Stability in a Nambu-Jona-Lasinio Model with Diquark-Diquark Repulsion
• Astrophysics in the Laboratory: The CBM Experiment at FAIR
• Impact of Multiple Phase Transitions in Dense QCD on Compact Stars
• Sign problem and the chiral spiral on the finite-density lattice
• Chiral symmetry breaking in accelerating and rotating frames
• Quarkyonic picture of isospin QCD
• Classification of Equation of State in Relativistic Heavy-Ion Collisions Using Deep Learning
• Alpha-cluster structure and density wave in oblate nuclei
• The BEST framework for the search for the QCD critical point and the chiral magnetic effect
• Spin-one color superconductors: collective modes and effective Lagrangian
• Thermal freeze-out parameters and pseudo-entropy from charged hadron spectra in high energy collisions
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
• Bubble dynamics in a strong first-order quark-hadron transition
• Mass dependence of the deconfinement and chiral restoration critical temperatures in nonlocal SU(2) PNJL models
• Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples
• Chiral symmetry breaking patterns in the U_L(n)xU_R(n) meson model
• QCD Phase Diagrams via QHD and MIT-Based Models
• Dynamical critical fluctuations near the QCD critical point with hydrodynamic cooling rate
• Exploring QCD phase diagram at vanishing baryon density on the lattice
• Axion-Polaritons in the Magnetic Dual Chiral Density Wave Phase of Dense QCD
• Collective Excitation in High-Energy Nuclear Collisions -- In Memory of Professor Lianshou Liu
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• Letter of Intent: the NA60+ experiment
• Spin polarization in high density quark matter under a strong external magnetic field
• Treating divergence in quark matter by using energy projectors
• Phase transitions and latent heat in magnetized matter
• Solitonic ground state in supersymmetric theory in background
• Partial restoration of chiral symmetry in the color flux tube
• Estimation of Stopped Protons at Energies Relevant for a Beam Energy Scan at the BNL Relativistic Heavy-Ion Collider
• Conformal perturbation theory confronts lattice results in the vicinity of a critical point
• A method for probing the formation of quark matter
• Towards extremely dense matter on the lattice
• Composition of scalar mesons and their effects on nuclear matter properties in an extended linear sigma model
• Towards a unified hadron-quark equation of state for neutron stars within the relativistic mean-field model
• Hybrid stars and QCD phase transition with a NJL-like model
• Stochastic quantization and diffusion models
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• Nucleon Properties in the Polyakov Quark Meson Model
• Chiral symmetry restoration at large chemical potential in strongly coupled SU(N) gauge theories
• Chiral phase transition and spin alignment of vector mesons with chiral imbalance in a rotating QCD medium
• Non-perturbative Suppression of Chiral Vortical Effect in Hot (s)QGP for Hyperons Spin Polarization in Heavy Ion Collisions
• On the phase structure of extra-dimensional gauge theories with fermions
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Electric charge susceptibility in 2+1 flavour QCD on an anisotropic lattice
• Effect of momentum anisotropy on quark matter in the quark-meson model
• Heavy-Ion Collisions toward High-Density Nuclear Matter
• Experimental results on charge fluctuations in heavy-ion collisions
• Topological zero modes at nonzero chemical potential
• Hydrodynamic description of the baryon-charged quark-gluon plasma
• Complex singularities around the QCD critical point at finite densities
• Recent selected theory developments for NICA
• Elliptic flow splittings in the Polyakov-looped Nambu-Jona Lasinio transport model
• Color superconductivity on the lattice -- analytic predictions from QCD in a small box
• Isospin effect on quark matter instabilities
• Arguing on entropic and enthalpic first-order phase transitions in strongly interacting matter
• Oscillating Magnetized Color Superconducting Quark Stars
• Non-Radial Oscillation Modes in Hybrid Stars with Hyperons and Delta Baryons
• A finite-density transition line for QCD with 695 MeV dynamical fermions
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations
• Higher-form symmetries and $d-wave$ superconductors from doped Mott insulators
• Analysis of the QCD Kondo phase using random matrices
• Effects of a quark chemical potential on the analytic structure of the gluon propagator
• Magnetic field and quark matter in the core
• Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model
• Nonuniform-temperature effects on the phase transition in an Ising-like model
• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature
• Anatomy of the dense QCD matter from canonical sectors
• Extracting strange quark freeze-out information in Pb+Pb collisions at $\sqrt{s_{NN}}$=2.76 TeV from $\varphi$ and $\Omega$ production
• Multi-body correlations in SU(3) Fermi gases
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• Time-dependent Ginzburg-Landau approach to the dynamics of inhomogeneous chiral condensates in a nonlocal Nambu--Jona-Lasinio model
• Quantum theory, thermal gradients and the curved Euclidean space
• The equilibrium and dynamical cumulants of QCD chiral order parameter with parametric Landau free energy
• Constraining Accreted Neutron Star Crust Shallow Heating with the Inferred Depth of Carbon Ignition in X-ray Superbursts
• Dirac Kondo effect under magnetic catalysis
• 5-D thermal field theory, Einstein field equations and spontaneous symmetry breaking
• Phase Structure and Dynamics of QCD-- A Functional Perspective
• Forward-backward multiplicity and momentum correlations in pp and pPb collisions at the LHC energies
• Bubble nucleation in the two-flavor quark-meson model
• Scaling violation and the magnetic equation of state in chiral models
• Effects of phase transition in hybrid stars from quark-meson coupling hadronic matter to deconfined quark matter
• Information entropy for central ${}^{197}$Au+${}^{197}$Au collisions with the ultrarelativistic quantum molecular dynamics model
• Modified dilepton production rate from charged pion-pair annihilation in the inhomogeneous chiral condensed phase
• Vector meson spectral function and dilepton rate in the presence of strong entanglement effect between the chiral and the Polyakov loop dynamics
• Strongly interacting matter in extreme magnetic fields
• Pion String evolving in a thermal bath
• Ultra fast, event-by-event heavy-ion simulations for next generation experiments
• Bayesian Inference of Hybrid Star Properties from Future High-Precision Measurements of Their Radii
• Beam energy dependence of cumulants of the net-baryon, net-charge and deuteron multiplicity distributions in Au+Au collisions at $\sqrt{s_{NN}}=3.0-5.0$ GeV
• Chiral random matrix theory for single-flavor spin-one Cooper pairing
• Fluctuation sound absorption in quark matter
• Nature of the chiral phase transition of two flavour QCD from imaginary chemical potential with HISQ fermions
• Toward a foundation model for heavy-ion collision experiments based on point-cloud diffusion
• Generalized Nambu-Goldstone pion in dense matter: a schematic NJL model
• Fast Heating Dissociation of Upsilon(1S) in Heavy Ion Collisions at RHIC
• Gradient expansion technique for inhomogeneous, magnetized quark matter
• Spin polarizations under a pseudovector interaction between quarks with the Kobayashi-Maskawa-'t Hooft term in high density quark matter
• Chiral symmetry in $SU(N_c)$ gauge theories at high density
• Probing fluctuations and correlations of strangeness by net-kaon cumulants in Au+Au collisions at $\sqrt{s_{NN}}=7.7$ GeV
• Relativistic Cooper pairing in the microscopic limit of chiral random matrix theory
• Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation
• Recovering the chiral critical end-point via delocalization of quark interactions
• $U_A(1)$ symmetry restoration at high baryon density
• Model analysis of thermal UV-cutoff effects on the chiral critical surface at finite temperature and chemical potential
• Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
• Inhomogeneous Polyakov loop induced by inhomogeneous chiral condensates
• Probing the hadron-quark mixed phase at high isospin and baryon density - Sensitive observables
• Mixed phases during the phase transitions
• Internal structure of gauge-invariant Projected Entangled Pair States
• A holographic study on QCD phase transition and neutron star properties
• Random matrix model for chiral and color-flavor locking condensates
• Optimal collision-energy range for realizing macroscopic high-baryon-density matter
• Bubble dynamics in the Polyakov quark-meson model
• Relation between the continuum threshold and the Polyakov loop with the QCD deconfinement transition
• Repulsive Fermi and Bose Polarons in Quantum Gases
• New dynamic critical phenomena in nuclear and quark superfluids
• Locations of Roberge-Weiss transition endpoints in lattice QCD with $N_f=2$ improved KS quarks
• Quantum computing of chirality imbalance in SU(2) gauge theory
• Response functions of hot and dense matter in the Nambu-Jona-Lasino model
• Silver Blaze Puzzle in 1/Nc Expansions of Cold and Dense QCD Matter
• Probing the QCD phase structure using event-by-event fluctuations
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Hybrid stars from a three-flavor NJL model with two kinds of tensor condensates
• Covariant formulation of spinodal decomposition in rapidly expanding quark gluon plasma
• How does color neutrality affect collective modes in color superconductors?
• Hydrodynamics of Relativistic Superheated Bubbles
• Enhancement of photon emission rate near QCD critical point
• Renormalizing the Quark-Meson-Diquark Model
• Dynamics of the conserved net-baryon density near QCD critical point within inhomogeneous quark-gluon plasma profile
• Cumulants of conserved charges in hydrodynamic simulations
• Dynamical and finite-size effects on the criterion of first-order phase transition
• Transport-model investigation of scaling of the number of constituent quarks and the hadronic-partonic transition in Au + Au collisions
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• Constraining the hadronic spectrum and repulsive interactions in a hadron resonance gas via fluctuations of conserved charges
• Inhomogeneous chiral phase in the magnetic field
• Freeze-out and thermalization in relativistic heavy ion collisions
• Condensates, crystals, and renormalons in the Gross-Neveu model at finite density
• Non-zero tensor condensates in cold quark matter within the three-flavor Nambu-Jona-Lasinio model with the Kobayashi-Maskawa-'t Hooft interaction
• Thermal fluctuations on the freeze-out surface of heavy-ion collisions and their impact on particle correlations
• Renormalized dual basis for scalable simulations of 2+1D compact quantum electrodynamics
• Physics of Collectivity and EOS from the RHIC Beam Energy Scan Program
• Effect of non-uniform efficiency on higher-order cumulants in heavy-ion collisions
• Constraining the competition between the deconfinement and chiral phase transitions in light of the multimessenger era
• Large-Nc equivalence and the sign problem at finite baryon density
• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
• The chiral phase transition and equation of state in the chiral imbalance
• Phases and condensates in zero-temperature QCD at finite ${\mu }_I$ and ${\mu }_S$
• Pion superfluid phase transition at finite isospin chemical potential
• Schwinger-Keldysh approach to tunneling transport at a hadron-quark interface
• QCD Green's Functions and Phases of Strongly-Interacting Matter
• ${\mathbb{Z}}_3$ lattice gauge theory as a toy model for dense QCD
• Global shift symmetry on an ADM hypersurface: Toward emergent gravity
• Dynamic density correlations in a baryon rich fluid using Mori-Zwanzig-Nakjima projection operator method
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD
• Exploring QCD Matter at High Baryon Density
• Cosmology from Strong Interactions
• A possibility of existence of a pseudovector-type quark-antiquark condensate in the quark matter and Nambu-Goldstone modes on that condensate in the Nambu-Jona-Lasinio model
• Production of Strange and Charm Hadrons in Pb+Pb Collisions at $\sqrt{s_{NN}}=$ 5.02 TeV
• Floquet vacuum engineering: Laser-driven chiral soliton lattice in the QCD vacuum
• Phase transitions and finite-size effects in integrable virial statistical models
• The continuum threshold and the Polyakov loop: A comparison between two deconfinement order parameters
• Unified nonparametric equation-of-state inference from the neutron-star crust to perturbative-QCD densities
• Net-proton measurements at RHIC and the QCD phase diagram
• Exact Wigner function for chiral spirals
• Dark, deep, deconfining: Phase transitions in neutron stars as powerful probes of hidden sectors
• Finite density nuclear matter and neutron stars in hard-wall AdS/QCD model
• Baryons in the Nambu Jona-Lasinio models
• Investigating corrections to a Gaussian distribution of the complex phase
• Investigations of symmetry breakings by multiple condensates on exotic chiral condensed phases
• Phase transitions at high and low densities for a rotating QCD matter from holography
• Mean Field Approaches to Lattice Gauge Theories: A Review
• Revisiting color superconductors in bottom-up holography
• Fermionic domain-wall Skyrmions of QCD in a magnetic field
• Quarkyonic matter and hadron-quark crossover from an ultracold atom perspective
• Space-time regions of high baryon density and baryon stopping in heavy-ion collisions
• Nonlinear electrodynamics in magnetars: systematic effects on radius constraints and timing analysis
• Non-perturbative suppression of Chiral Effects in hot QGP for $\Lambda /\bar{\Lambda }$-hyperons spin polarization in heavy-ion collisions
• Collective excitations in the hot QCD medium and the propagation of Heavy Quarks
• Backreaction of mesonic fluctuations on the axial anomaly at finite temperature
• Momentum space topology of QCD
• Isospin asymmetric matter in a nonlocal chiral quark model
• Multicomponent Van der Waals model of a nuclear fireball in the freeze-out stage
• Chiral perturbation theory vs. Linear Sigma Model in a chiral imbalance medium
• The Staggered Fermion for the Gross-Neveu Model at Non-zero Temperature and Density
• Partonic transport model application to heavy flavor
• Speed of sound of QCD matter at chiral crossover
• Axial anomaly and nesting in the inhomogeneous chiral phase
• Differentiating between sharp and smoother phase transitions in neutron stars
• Effects of Intense Magnetic Fields, High Temperature and Density on QCD-Related Phenomena
• Chiral QCD phase in equilibrium with Hadron Gas and the location of the critical point
• Reformulation of gauge theories in terms of gauge invariant fields
• Quarkyonic Matter and Chiral Spirals
• Taming the pion condensation in QCD at finite baryon density
• Emergent Lifshitz scaling from N=4 SYM with supersymmetric heavy-quark density
• Monte Carlo Simulation of The Adjoint Coulomb Gas
• Relativistic Borromean States
• Heavy ion collisions: puzzles and hopes