Chiral Restoration in Hot and/or Dense Matter

Abstract

Chiral restoration phase transition in hot and/or dense hadronic matter is discussed in terms of the BR scaling based on chiral symmetry and scale anomaly of QCD. The precise connection between the scalar field that figures in the trace anomaly and the sigma field that figures in the linear $\sigma$ model is established. It is suggested that in hot and/or dense medium, the nonlinear $\sigma$ model linearizes with the help of a dilaton to a linear $\sigma$ model with medium-renormalized constants. The relevance of Georgi's vector symmetry and/or Weinberg's ``mended symmetry" in chiral restoration is pointed out. Some striking consequences for relativistic heavy-ion collisions and dense matter in compact stars following stellar collapse are discussed.

66 pages, Latex, 19 figures (not included, available on request), Prepared for Physics Reports

References in corpus (18)

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• FLAVOR-SINGLET g_A FROM LATTICE QCD
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• Kaon-Nucleon Scattering from Chiral Lagrangians
• Cheshire Cat Hadrons
• The Relevant Scale Parameter in the High Temperature Phase of QCD
• Hidden Local Symmetry at One Loop
• The Dilated Chiral Quark Model
• Where the excess photons and dileptons in SPS nuclear collisions come from?
• Hadron Properties just before Deconfinement
• Proving the Low Energy Theorem of Hidden Local Symmetry
• Finite-Temperature Corrections in the Dilated Chiral Quark Model

Cited by in corpus (172)

• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Hydrodynamic Models for Heavy Ion Collisions
• Signatures of Quark-Gluon-Plasma formation in high energy heavy-ion collisions: A critical review
• Hadron properties in the nuclear medium
• In-medium Production of Kaons at the Mean-Field Level
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Experimental Signature of Medium Modifications for rho and omega Mesons in the 12 GeV p + A Reactions
• phi photo-production from Li, C, Al, and Cu nuclei at Egamma=1.5 - 2.4 GeV
• Medium effects in high energy heavy-ion collisions
• A Precursor of Chiral Symmetry Restoration in the Nuclear Medium
• P-Wave Polarization of the $\rho$-Meson and the Dilepton Spectrum in Dense Matter
• Kaon Condensation in Dense Stellar Matter
• e+e--pair production in Pb-Au collisions at 158 GeV per nucleon
• Nucleon Resonance Transition Couplings to Vector Mesons
• Resonance model study of kaon production in baryon baryon reactions for heavy ion collisions
• Thermal Photons and Lepton Pairs from Quark Gluon Plasma and Hot Hadronic Matter
• Vacuum phenomenology of the chiral partner of the nucleon in a linear sigma model with vector mesons
• Kaonic nuclei studied based on a new framework of Antisymmetric Molecular Dynamics
• Modification of the rho meson detected by low-mass electron-positron pairs in central Pb-Au collisions at 158 A GeV/c
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• Phi Meson Production in Heavy-Ion Collisions at SIS Energies
• The Chiral Restoration Transition of QCD and Low Mass Dileptons
• From Chiral Mean Field to Walecka Mean Field and Kaon Condensation
• Measurements of Dielectron Production in Au$+$Au Collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV from the STAR Experiment
• Mass modification of D-meson in hot hadronic matter
• In-medium kaon and antikaon properties in the quark-meson coupling model
• Invariant-Mass Spectroscopy for Condensed Single- and Double-\kbar Nuclear Clusters to be Formed as Residues in Relativistic Heavy-Ion Collisions
• Particle ratios at RHIC: Effective hadron masses and chemical freeze-out
• Dielectron Mass Spectra from Au+Au Collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV
• Vector Manifestation of the Chiral Symmetry
• Statistical Model Predictions for Particle Ratios at sqrt(s_NN) = 5.5 TeV
• $U_A(1)$ symmetry restoration in QCD with $N_f$ flavors
• Matter-induced modification of resonances at RHIC freezeout
• Modified Quark-Meson Coupling Model for Nuclear Matter
• Kaons and antikaons in hot and dense hadronic matter
• Kaonic nuclei excited by the $(K^{-},N)$ reaction
• Strange tribaryons as Kbar-mediated dense nuclear systems
• The new mechanism for intermediate- and short-range nucleon-nucleon interaction
• Precursor of Color Superconductivity in Hot Quark Matter
• Photons from Pb-Pb Collisions at CERN SPS
• Hyperons in thermal QCD: A lattice view
• Dilepton production in heavy ion collisions at intermediate energies
• From Chiral Lagrangians to Landau Fermi Liquid Theory of Nuclear Matter
• Medium effects to N(1535) resonance and eta mesic nuclei
• Energy dependence of acceptance-corrected dielectron excess mass spectrum at mid-rapidity in Au+Au collisions at $\sqrt{s_{NN}}=19.6$ and 200 GeV
• Dense Nuclear Matter: Landau Fermi-Liquid Theory and Chiral Lagrangian with Scaling
• Fluctuations In ``BR-Scaled'' Chiral Lagrangians
• In-medium pi-pi Correlation Induced by Partial Restoration of Chiral Symmetry
• Quark Number Susceptibility, Thermodynamic Sum Rule, and Hard Thermal Loop Approximation
• Vector Manifestation in Hot Matter
• Meson masses in large Nf QCD from the Bethe-Salpeter equation
• Formation of mesic nuclei by (γ,p) reactions
• Vector Manifestation and Fate of Vector Mesons in Dense Matter
• Precision measurement of the quasi-free pn->dphi reaction close to threshold
• Super strong nuclear force caused by migrating Kbar mesons - Revival of the Heitler-London-Heisenberg scheme in kaonic nuclear clusters
• eta-Nucleus interactions and in-medium properties of N*(1535) in chiral models
• QCD condensates and hadron parameters in nuclear matter: self-consistent treatment, sum rules and all that
• Sliding Vacua in Dense Skyrmion Matter
• Formation of eta-mesic nuclei by (pi,N) reaction and N^*(1535) in medium
• Chiral symmetry restoration at high matter density observed in pionic atoms
• Chiral Phase Transition of QCD at Finite Temperature and Density from Schwinger-Dyson Equation
• Off-shell omega production in proton-proton collisions near threshold
• Study of Strangeness Condensation by Expanding About the Fixed Point of the Harada-Yamawaki Vector Manifestation
• Di-electron spectrum at mid-rapidity in $p+p$ collisions at $\sqrt{s}=200$ GeV
• Holographic QCD in medium: a bottom up approach
• Mass and Width of the Rho Meson in a Nuclear Medium from Brown-Rho Scaling and QCD Sum Rules
• Nuclear matter with Brown-Rho-scaled Fermi liquid interactions
• Dilepton production in heavy-ion collisions with in-medium spectral functions of vector mesons
• Static properties of chiral models with SU(3) group structure
• Hadron production in non linear relativistic mean field models
• Collision Broadening of the Phi Meson in Baryon Rich Hadronic Matter
• Medium effects in proton-induced $K^0$ production at 3.5 GeV
• Fate of Vector Dominance in the Effective Field Theory
• Kaon effective mass and energy from a novel chiral SU(3)-symmetric Lagrangian
• Duality and Chiral Restoration from Low-Mass Dileptons at the CERN-SpS
• Electroweak properties of pions in a nuclear medium
• Dilepton production in proton-proton collisions at BEVALAC energies
• Role of the Coulomb interaction in the flow and the azimuthal distribution of kaons from heavy ion reactions
• phi-meson in Nuclear Matter
• Medium Modification of Nucleon Properties in Skyrme Model
• Vector Manifestation and Violation of Vector Dominance in Hot Matter
• Chiral symmetry in linear Sigma model in magnetic environment
• A Mean Field Theory of the Chiral Phase Transition
• Microscopic calculations of medium effects for 200-MeV (p,p') reactions
• Chemical Equilibration in Relativistic Heavy Ion Collisions
• Intermediate-mass dilepton production in heavy-ion collisions at 200A GeV
• Calculation of the ${}^3$He(in-flight $K^{-}$,$n$) reaction for searching the deeply-bound $K^{-}pp$ state
• Effective Degrees of Freedom at Chiral Restoration and the Vector Manifestation in HLS theory
• The Pion Decay Constants and the Rho-Meson Mass at Finite Temperature in the Hidden Local Symmetry
• Isospin Properties of ($K^{-}$, $N$) Reactions for the Formation of Deeply-bound Antikaonic Nuclei
• Thermal Radiation from Au + Au Collisions at \sqrt{s} = 200 GEV/A Energy
• The mass of heavy-light mesons in a constituent quark picture with partially restored chiral symmetry
• Seeing phi meson through the dilepton spectra in heavy-ion collisions
• Medium modifications of kaons in pion matter
• Simultaneous Softening of sigma and rho Mesons associated with Chiral Restoration
• Dropping Sigma-Meson Mass and In-Medium S-Wave pion-pion Correlations
• $\eta$-meson in nuclear matter
• Consequences of kinetic non-equilibrium for the nuclear equation-of-state in heavy ion collision
• Dilepton production at HADES: theoretical predictions
• Neutron star, $\beta$-stable ring-diagram equation of state and Brown-Rho scaling
• Deeply-bound $K^{-}pp$ state in the ${}^3$He(in-flight $K^{-}$, $n$) spectrum and its moving pole near the $\pi \Sigma N$ threshold
• Density dependence of meson - nucleon vertices in nuclear matter
• Heavy Scalar, Vector and Axial-Vector Mesons in Hot and Dense Nuclear Medium
• Chiral Symmetry Restoration and the Georgi Vector Limit
• Electromagnetic probes
• The Quark Number Susceptibility in Hard-Thermal-Loop Approximation
• Global Properties of Nucleus-Nucleus Collisions
• Strange Particles in Dense Matter and Kaon Condensates
• Quark Confinement in a Constituent Quark Model
• A New State Of Hadronic Matter At High Density
• Medium effect on photon production in ultrarelativistic nuclear collisions
• The low and intermediate mass dilepton and photon results
• Radial Flow from Electromagnetic Probes and Signal of Quark Gluon Plasma
• Dielectron Azimuthal Anisotropy at mid-rapidity in Au+Au collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV
• Finite-Temperature Corrections in the Dilated Chiral Quark Model
• Radial flow of kaon mesons in heavy ion reactions
• Thermal Photons in Strong Interactions
• $K^{\ast }(892{)}^0$ meson production in inelastic $p+p$ interactions at 40 and 80 GeV/$c$ beam momenta measured by NA61/SHINE at the CERN SPS
• What Have We Learned from RHIC?
• In-medium modified $\pi$-$\rho$-$\omega$ mesonic Lagrangian and properties of nuclear matter
• Evolution of Fluctuation in relativistic heavy-ion collisions
• Neutron star structure in a quark model with excluded volume correction
• Non-renormalization Theorem Originating in a New Fixed Point of the Vector Manifestation
• Novel spectral broadening from vector--axial-vector mixing in dense matter
• A novel spectral broadening from vector--axial-vector mixing in dense matter
• Introduction to low-momentum effective interactions with Brown-Rho scaling and three-nucleon forces
• Measuring radial flow of partonic and hadronic phases in relativistic heavy ion collision
• Formation of sigma Mesic Nuclei in (d,t) and (d,^3He) Reactions
• Why the $a_1$ meson might be a difficult messenger for the restoration of chiral symmetry
• Spectral Red-Shift Versus Broadening from Photon and Dilepton Spectra
• Nuclear matter in the chiral limit and the in-medium chiral condensate
• Consequences of the partial restoration of chiral symmetry in AdS/QCD
• Scaling Behavior in Soliton Models
• Evolution of collectivity as a signal of quark gluon plasma formation in heavy ion collisions
• What does the rho-meson do? In-medium mass shift scenarios versus hadronic model calculations
• Two-photon decays of vector mesons and dilepton decays of scalar mesons in dense matter
• The Nuclear Sigma Term in the Skyrme Model: Pion-Nucleus Interaction
• Dileptons Get Nearly "Blind" to Mass-Scaling Effects In Hot and/or Dense Matter
• Space-time evolution of ultra-relativistic heavy ion collisions and hadronic spectra
• Delta-33 medium mass modification and pion spectra
• Baryonic matter and the medium modification of the baryon masses
• Electroweak properties of kaons in a nuclear medium
• Collective modes and current-algebraic sum rules in nuclear medium
• Induced symmetry breaking and a new phase of hadronic matter at high density
• Low Temperature Dominance of Pion-like Excitations in the Massive Gross-Neveu Model at Order 1/N
• Dilepton production in elementary and in heavy ion reactions
• The effect of Kaon Condensation on Quark-Antiquark Condensate in Dense Matter
• The di-lepton physics program at STAR
• Pentaquarks, Skyrmions and the Vector Manifestation of Chiral Symmetry
• Mesons and tachyons with confinement and chiral restoration, and NA60
• Baryon Density and the Dilated Chiral Quark Model
• Thermal Radiation from Heavy Ion Collisions at RHIC
• Low Mass Dileptons from Pb+Au Collisions at 158 AGeV
• Medium modification of singly heavy baryons in a pion-mean field approach
• Relativistic Nucleus-Nucleus Collisions and the QCD Matter Phase Diagram
• Photons from Quark Gluon Plasma and Hot Hadronic Matter
• Singly heavy baryons in nuclear matter from an SU(3) chiral soliton model
• A study of the elastic $\pi N$ scattering at finite baryon density
• In-medium Properties of ${\Theta }^{+}$ as a K$\pi$N structure in Relativistic Mean Field Theory
• Dielectron production in Au$+$Au collisions at $\sqrt{s_{NN}}$=200 GeV
• Pion structure in a nuclear medium
• Interplay between Yukawa and Tomonaga in the Birth of Mesons
• Nucleon-nucleon potential in finite nuclei
• Shadowing in photo-production : role of in-medium hadrons
• The $\eta$ decay into 3$\pi$ in asymmetric nuclear medium
• Pre-critical Chiral Fluctuations in Nuclear Medium -- precursors of chiral restoration at $ρ_{B}\not=0 --
• Electromagnetic probes in heavy-ion collisions: Messengers from the hot and dense phase
• In-medium properties of kaons in a chiral approach
• Heavy lepton pair production in nucleus-nucleus collisions at LHC energy - a case study
• Dileptons and Direct Photons at SPS
• The Changes in Properties of Hadrons in Nuclei and Nuclear Matter
• Dileptons at Colliders as Probes of the Quark-Gluon Plasma