Chiral phase boundary of QCD at finite temperature

Abstract

We analyze the approach to chiral symmetry breaking in QCD at finite temperature, using the functional renormalization group. We compute the running gauge coupling in QCD for all temperatures and scales within a simple truncated renormalization flow. At finite temperature, the coupling is governed by a fixed point of the 3-dimensional theory for scales smaller than the corresponding temperature. Chiral symmetry breaking is approached if the running coupling drives the quark sector to criticality. We quantitatively determine the phase boundary in the plane of temperature and number of flavors and find good agreement with lattice results. As a generic and testable prediction, we observe that our underlying IR fixed-point scenario leaves its imprint in the shape of the phase boundary near the critical flavor number: here, the scaling of the critical temperature is determined by the zero-temperature IR critical exponent of the running coupling.

arXiv comment39 pages, 8 figures

References in corpus (96)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• New Forms of QCD Matter Discovered at RHIC
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The Exact Renormalisation Group and Approximate Solutions
• Optimised Renormalisation Group Flows
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Hadron production in Au-Au collisions at RHIC
• Optimisation of the exact renormalisation group
• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Why does the Quark-Gluon Plasma at RHIC behave as a nearly ideal fluid ?
• The Quark-Gluon Plasma in Equilibrium
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• The pressure of hot QCD up to g^6 ln(1/g)
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• Free Energy of QCD at High Temperature
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• Flow Equations for N Point Functions and Bound States
• The Three-Loop Free Energy for Pure Gauge QCD
• Infrared behaviour and fixed points in Landau gauge QCD
• Lectures on the functional renormalization group method
• Conformal Phase Transition in Gauge Theories
• The Free Energy of Hot Gauge Theories with Fermions Through g^5
• The Phase Diagram of the Quark-Meson Model
• The Zero Temperature Chiral Phase Transition in SU(N) Gauge Theories
• Chemical Freeze-out and the QCD Phase Transition Temperature
• Renormalization Flow of Bound States
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
• Flow Equations and BRS Invariance for Yang-Mills Theories
• Two-loop QCD gauge coupling at high temperatures
• Infinite Volume and Continuum Limits of the Landau-Gauge Gluon Propagator
• Chiral phase structure of QCD with many flavors
• Static correlation lengths in QCD at high temperatures and finite densities
• Effective Action for the Quark-Meson Model
• Unquenched Gluon Propagator in Landau Gauge
• Perturbative renormalization and infrared finiteness in the Wilson renormalization group: the massless scalar case
• Running coupling in Yang-Mills theory - a flow equation study -
• Gluon propagators and quark confinement
• Thermalization at RHIC
• Universality of spontaneous chiral symmetry breaking in gauge theories
• On the universality of the Milan factor for 1/Q power corrections to jet shapes
• Completeness and consistency of renormalisation group flows
• Renormalization flow of Yang-Mills propagators
• On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations
• Renormalizability of gauge theories in extra dimensions
• Flow Equations for Yang-Mills Theories in General Axial Gauges
• Analytic Perturbation Theory in analyzing some QCD observables
• Experimental determination of the effective strong coupling constant
• Wilsonian flows and background fields
• A gauge invariant exact renormalization group I
• Gluon Condensation in Nonperturbative Flow Equations
• Gauge invariance and background field formalism in the exact renormalisation group
• Analytic coupling and Sudakov effects in exclusive processes: pion and ${\gamma }^{\ast }\gamma \to {\pi }^0$ form factors
• Towards a renormalizable standard model without fundamental Higgs scalar
• BRS symmetry for Yang-Mills theory with exact renormalization group
• Renormalization Group Flow and Equation of State of Quarks and Mesons
• Running coupling at finite temperature and chiral symmetry restoration in QCD
• Analytic Approach in Quantum Chromodynamics
• Phase structure of lattice QCD for general number of flavors
• Renormalization flow of QED
• Evolution Equations for the Quark-Meson Transition
• On the Behavior of the Effective QCD Coupling alpha_tau(s) at Low Scales
• Borel Summation of the Derivative Expansion and Effective Actions
• QCD in the Infrared with Exact Angular Integrations
• QCD Perturbation Theory at Low Energies
• Volume and Quark Mass Dependence of the Chiral Phase Transition
• The conformal window in QCD and supersymmetric QCD
• Disentangling running coupling and conformal effects in QCD
• High-Temperature Limit of Landau-Gauge Yang-Mills Theory
• ${\alpha }_s$ at Zinnowitz 2004
• Landau gauge ghost and gluon propagators in SU(2) lattice gauge theory: Gribov ambiguity revisited
• A gauge invariant exact renormalization group II
• Universality and the Renormalisation Group
• Signals of confinement in Green functions of SU(2) Yang-Mills theory
• Volume Dependence of the Pion Mass in the Quark-Meson-Model
• The High-Temperature Phase of Landau-Gauge Yang-Mills Theory
• Influence of quark boundary conditions on the pion mass in finite volume
• The heat-kernel and the average effective potential
• Two-loop self-dual Euler-Heisenberg Lagrangians (II): Imaginary part and Borel analysis
• Infrared Behavior of the Gluon Propagator in Lattice Landau Gauge
• On Gauge Invariant Wilsonian Flows
• Spatial 't Hooft loop to cubic order in hot QCD II
• Analysis of the Wilsonian Effective Potentials in Dynamical Chiral Symmetry Breaking
• Infrared Gluon Propagator from lattice QCD: results from large asymmetric lattices
• Gauge-Invariant Renormalization Group at Finite Temperature
• A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills
• Finite Temperature Quark Confinement
• Perturbative QCD theory (includes our knowledge of alpha_s)
• Non-ladder Extended Renormalization Group Analysis of the Dynamical Chiral Symmetry Breaking
• Fixing the conformal window in QCD
• Gauge-variant propagators and the running coupling from lattice QCD
• Forces, fluxes and quasi-particles in hot QCD

Cited by in corpus (115)

• Aspects of the Functional Renormalisation Group
• The nonperturbative functional renormalization group and its applications
• The Phase Structure of the Polyakov--Quark-Meson Model
• QCD and strongly coupled gauge theories: challenges and perspectives
• Walking in the SU(N)
• The QCD phase structure at finite temperature and density
• Quark Confinement from Color Confinement
• Introduction to the functional RG and applications to gauge theories
• Chiral symmetry breaking in continuum QCD
• The phase structure of the Polyakov--quark-meson model beyond mean field
• On the relation of quark confinement and chiral symmetry breaking
• Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• The physics of eight flavours
• QCD-Electroweak First-Order Phase Transition in a Supercooled Universe
• Hyperscaling relations in mass-deformed conformal gauge theories
• QCD critical region and higher moments for three flavor models
• Improved Polyakov-loop potential for effective models from functional calculations
• Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potential
• Evidence for a conformal phase in SU(N) gauge theories
• Deconfinement phase transition and the quark condensate
• Viability of quantum-gravity induced ultraviolet completions for matter
• Super-cool Dark Matter
• On finite-temperature holographic QCD in the Veneziano limit
• Low-energy effective action for pions and a dilatonic meson
• On the order of the QCD chiral phase transition for different numbers of quark flavours
• Symmetric nuclear matter from the strong interaction
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• RG Flows and Bifurcations
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• The QCD Phase Boundary from Quark-Gluon Dynamics
• Running coupling at finite temperature and chiral symmetry restoration in QCD
• On the Phase Structure of Many-Flavor QED${}_3$
• Toward a first-principle derivation of confinement and chiral-symmetry-breaking crossover transitions in QCD
• QCD at finite temperature and density within the fRG approach: An overview
• Inverse magnetic catalysis in holographic models of QCD
• Phase diagram and surface tension in the three-flavor Polyakov-quark-meson model
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• UV fixed-point structure of the three-dimensional Thirring model
• Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
• Non-perturbative thermal flows and resummations
• Critical behavior of the (2+1)-dimensional Thirring model
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Beyond Miransky Scaling
• Running coupling constant of ten-flavor QCD with the Schrödinger functional method
• The Chiral Phase Transition in three-flavor QCD from Lattice QCD
• Fierz-complete NJL model study: fixed points and phase structure at finite temperature and density
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Dynamical Stabilization of the Fermi Scale: Phase Diagram of Strongly Coupled Theories for (Minimal) Walking Technicolor and Unparticles
• Functional renormalization group study of the two-flavor linear sigma model in the presence of the axial anomaly
• Including the Fermion Vacuum Fluctuations in the $(2+1)$ flavor Polyakov Quark Meson Model
• Light charged fermions in quantum gravity
• Mass sensitivity of the three-flavor chiral phase transition
• Supercool exit: Gravitational waves from QCD-triggered conformal symmetry breaking
• Scaling laws near the conformal window of many-flavor QCD
• Nonrelativistic inverse square potential, scale anomaly, and complex extension
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• The Conformal Window from the Worldline Formalism
• Mirror QCD phase transition as the origin of the nanohertz Stochastic Gravitational-Wave Background
• Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD
• Deconfinement phase transition in holographic QCD with matter
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Renormalization group for phases with broken discrete symmetry near quantum critical points
• Chiral phase transition at finite temperature and conformal dynamics in large Nf QCD
• A curvature bound from gravitational catalysis
• Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
• Scaling functions for the O(4)-model in d=3 dimensions
• Renormalization Group Studies of Dense Relativistic Systems
• A Planck-scale axion and SU(2) Yang-Mills dynamics: Present acceleration and the fate of the photon
• Finite-Size Scaling behavior in the O(4)-Model
• Phase diagram and nucleation in the Polyakov-loop-extended Quark-Meson truncation of QCD with the unquenched Polyakov-loop potential
• Chiral phase transition and QCD phase diagram from AdS/QCD
• Crystalline Ground States in Polyakov-loop extended Nambu--Jona-Lasinio Models
• On critical scaling at the QCD N_f=2 chiral phase transition
• N=1 Wess Zumino Model in d=3 at zero and finite temperature
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Global Structure of Conformal Theories in the SU(3) Gauge Theory
• QCD-inspired determination of NJL model parameters
• From quarks and gluons to color superconductivity at supranuclear densities
• Lattice-motivated holomorphic nearly perturbative QCD
• Cosmology of Supercooled Universe
• LIGO/Virgo Black Holes from a First Order QCD Phase Transition
• N=1 SQCD-like theories with N_f massive flavors from AdS/CFT and beta functions
• Four-quark scatterings in QCD I
• Effects of the Running of the QCD Coupling on the Energy Loss in the Quark-Gluon Plasma
• How the QCD trace anomaly behaves at the core of twin stars?
• Lattice Monte-Carlo study of pre-conformal dynamics in strongly flavoured QCD in the light of the chiral phase transition at finite temperature
• Lattice studies of QCD-like theories with many fermionic degrees of freedom
• Remark on the QCD-electroweak phase transition in a supercooled Universe
• Observable consequences of quantum gravity: Can light fermions exist?
• Perturbative QCD in acceptable schemes with holomorphic coupling
• A Heavy Quark-Antiquark Pair in Hot QCD
• Fixed Point Structure of Gradient Flow Exact Renormalization Group for Scalar Field Theories
• Extreme Technicolor & The Walking Critical Temperature
• Critical scaling of finite temperature QED_3 in anisotropic space-time
• Thermodynamical uncertainties for primordial black holes from cosmological phase transitions
• Baryogenesis and Dark Matter in Multiple Hidden Sectors
• Following Gluonic World Lines to Find the QCD Coupling in the Infrared
• W' and Z' limits for Minimal Walking Technicolor
• Evaluations of low-energy physical quantities in QCD with IR freezing of the coupling
• On the phase structure of extra-dimensional gauge theories with fermions
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
• Pauli-Term-Induced Fixed Points in $d$-dimensional QED
• About flavor, spin and color
• Effect of running coupling on photons from jet - plasma interaction in relativistic heavy ion collisions
• Thermal and Quantum Phase Transitions of the ${\varphi }^4$ Model
• Gliding down the QCD transition line, from $N_f=2$ till the onset of conformality
• Quantum fields in the non-perturbative regime - Yang-Mills theory and gravity
• Functional Renormalization Analytically Continued
• Thermodynamic Lattice Study for Preconformal Dynamics in Strongly Flavored Gauge Theory