Mass sensitivity of the three-flavor chiral phase transition

Abstract

The mass sensitivity of the chiral phase transition of QCD with and without axial $U_A(1)$-symmetry breaking at vanishing and finite quark chemical potential is investigated. To focus on the low-energy sector of QCD, a quark-meson model with three dynamical quark flavors is employed. Non-perturbative quantum fluctuations are taken into account with the functional renormalization group. The inherent ambiguities in fixing the low-energy model parameters away from the physical mass point and their consequences for spontaneous chiral symmetry breaking are discussed in detail and a heuristic parameter fixing scheme motivated by chiral perturbation theory is proposed. The influence of vacuum and thermal fluctuations of quarks and mesons on the order of the chiral phase transition is additionally assessed with a mean-field analysis.

arXiv comment14 pages, 11 figures; published version

References in corpus (75)

• Exact evolution equation for the effective potential
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The chiral and deconfinement aspects of the QCD transition
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Aspects of the Functional Renormalisation Group
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Optimised Renormalisation Group Flows
• On the Phase Diagram of QCD
• Optimisation of the exact renormalisation group
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Infrared Properties of QCD from Dyson-Schwinger equations
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• The QCD phase transition with physical-mass, chiral quarks
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Introduction to the functional RG and applications to gauge theories
• Fundamentals of the Exact Renormalization Group
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Chiral symmetry breaking in continuum QCD
• Lattice Study of the Conformal Window in QCD-like Theories
• The phase structure of the Polyakov--quark-meson model beyond mean field
• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• On the relation of quark confinement and chiral symmetry breaking
• Phase structure of three and four flavor QCD
• Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
• Chiral Symmetry Restoration at Nonzero Temperature in the SU(3) \times SU(3) Linear Sigma Model
• From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
• On the magnetic equation of state in (2+1)-flavor QCD
• Effective Action for the Quark-Meson Model
• Vacuum fluctuations and the thermodynamics of chiral models
• The three-flavor chiral phase structure in hot and dense QCD matter
• Chiral phase boundary of QCD at finite temperature
• Supersymmetry Inspired QCD Beta Function
• Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action
• The QCD deconfinement transition for heavy quarks and all baryon chemical potentials
• Renormalization Group Approach towards the QCD Phase Diagram
• Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
• QCD critical region and higher moments for three flavor models
• The Chiral Critical Point in 3-Flavour QCD
• Universality of spontaneous chiral symmetry breaking in gauge theories
• On the phase structure and thermodynamics of QCD
• Chiral symmetry restoration, eigenvalue density of Dirac operator and axial U(1) anomaly at finite temperature
• Two flavor chiral phase transition from nonperturbative flow equations
• Where is the chiral critical point in 3-flavor QCD?
• Higher order quark-mesonic scattering processes and the phase structure of QCD
• On the nature of the finite-temperature transition in QCD
• The QCD Phase Boundary from Quark-Gluon Dynamics
• The Vacuum Structure of Vector Mesons in QCD
• Fluctuation-induced modifications of the phase structure in (2+1)-flavor QCD
• Scaling of Chiral Order Parameter in Two-Flavor QCD
• Fluctuations and the axial anomaly with three quark flavors
• Chiral phase structure of three flavor QCD at vanishing baryon number density
• Non-perturbative thermal flows and resummations
• Conformal or Walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions
• The critical surface of the SU(3)_L x SU(3)_R chiral quark model at non-zero baryon density
• Fluctuations and isentropes near the chiral critical endpoint
• Functional renormalization group study of the two-flavor linear sigma model in the presence of the axial anomaly
• The phase structure of QCD for heavy quarks
• Critical endpoint of finite temperature phase transition for three flavor QCD
• QCD: Restoration of Chiral Symmetry and Deconfinement for Large N_f
• How sharp is the chiral crossover phenomenon for realistic meson masses?
• Mapping the boundary of the first order finite temperature restoration of chiral symmetry in the m_pi-m_K--plane with a linear sigma model
• Histograms in heavy-quark QCD at finite temperature and density
• Exact Flow Equations and the U(1)-Problem
• On the QCD phase structure from effective models
• Thermal properties and evolution of the $U_A(1)$ factor for 2+1 flavors
• Universal aspects of the phase diagram of QCD with heavy quarks
• Critical point phase transition for finite temperature 3-flavor QCD with non-perturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=10$
• Resummed one-loop determination of the phase boundary of the SU(3)_R x SU(3)_L linear sigma model in the m_pi-m_K-plane
• Influence of the U(1)_A Anomaly on the QCD Phase Transition
• QCD-inspired determination of NJL model parameters
• Pion and $\eta$-meson mass splitting at the two-flavour chiral crossover
• Mesonic and nucleon fluctuation effects at finite baryon density
• Updates on the Columbia plot and its extended/alternative versions

Cited by in corpus (26)

• The nonperturbative functional renormalization group and its applications
• The QCD phase structure at finite temperature and density
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• QCD at finite temperature and density within the fRG approach: An overview
• Chiral Susceptibility in (2+1)-flavour QCD
• The Chiral Phase Transition in three-flavor QCD from Lattice QCD
• Topology and axions in QCD
• Shocks and quark-meson scatterings at large density
• QCD phase transitions in the light quark chiral limit
• Strangeness Neutrality and QCD Thermodynamics
• Analytical structure of the equation of state at finite density: Resummation versus expansion in a low energy model
• The chiral phase transition and the axial anomaly
• Soft modes in hot QCD matter
• Curvature of the chiral phase transition line from the magnetic equation of state of (2+1)-flavor QCD
• Quarks and light (pseudo-)scalar mesons at finite chemical potential
• Second order chiral phase transition in three flavor quantum chromodynamics?
• Localized rainbows in the QCD phase diagram
• Anomalous $U(1{)}_A$ couplings and the Columbia plot
• Regulator scheme dependence of the chiral phase transition at high densities
• New Insight about the Effective Restoration of U_A(1) Symmetry
• Higher topological charge in the QCD vacuum and axion cosmology
• Hubble selection of the weak scale from QCD quantum critical point
• Field dependence of the Yukawa coupling in the three flavor quark-meson model
• Mass-dependence of pseudocritical temperature in mean field approximation
• QCD transition at the physical point, and its scaling window from twisted mass Wilson fermions