Volume and Quark Mass Dependence of the Chiral Phase Transition

Abstract

We investigate chiral symmetry restoration in finite spatial volume and at finite temperature by calculating the dependence of the chiral phase transition temperature on the size of the spatial volume and the current-quark mass for the quark-meson model, using the proper-time Renormalization Group approach. We find that the critical temperature is weakly dependent on the size of the spatial volume for large current-quark masses, but depends strongly on it for small current-quark masses. In addition, for small volumes we observe a dependence on the choice of quark boundary conditions.

arXiv comment25 pages, 6 figures, revtex4, one figure added, matches published version

References in corpus (45)

• Exact evolution equation for the effective potential
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• The QCD phase diagram for small densities from imaginary chemical potential
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD thermal phase transition in the presence of a small chemical potential
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• Infrared behaviour and fixed points in Landau gauge QCD
• The critical end point of QCD
• The Phase Diagram of the Quark-Meson Model
• QCD Thermodynamics with Three Flavors of Improved Staggered Quarks
• Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
• Finite volume effects for meson masses and decay constants
• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• Chiral Lagrangians and Nambu-Jona-Lasinio like models
• Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action
• The pion mass in finite volume
• Running coupling in Yang-Mills theory - a flow equation study -
• The Chiral Critical Point in 3-Flavour QCD
• Renormalization flow of Yang-Mills propagators
• Two flavor chiral phase transition from nonperturbative flow equations
• On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations
• Scaling tests of the improved Kogut-Susskind quark action
• Renormalization Group Flow and Equation of State of Quarks and Mesons
• Scaling Study of the Two-Flavor Chiral Phase Transition with the Kogut-Susskind Quark Action in Lattice QCD
• Lattice QCD with two dynamical flavors of domain wall quarks
• Thermodynamics of lattice QCD with two light quark flavours on a 16^3 x 8 lattice II
• Two flavor QCD and Confinement
• The phase structure of lattice QCD with two flavours of Wilson quarks and renormalization group improved gluons
• High-Temperature Limit of Landau-Gauge Yang-Mills Theory
• Linking the Quark Meson Model with QCD at High Temperature
• Volume Dependence of the Pion Mass in the Quark-Meson-Model
• The High-Temperature Phase of Landau-Gauge Yang-Mills Theory
• Finite volume effects in a quenched lattice-QCD quark propagator
• Critical Behavior in Nt = 4 Staggered Fermion Thermodynamics
• The finite temperature QCD phase transition with domain wall fermions
• Influence of quark boundary conditions on the pion mass in finite volume
• The Quark-Mass Dependence of T_C in QCD: Working up from m=0 or down from m=infinity ?
• Spatial and Temporal Hadron Correlators below and above the Chiral Phase Transition
• Gluons at finite temperature in Landau gauge Yang--Mills theory
• Finite size effects on $M_{\pi }$ in QCD from Chiral Perturbation Theory
• Quark mass dependence of masses and decay constants of the pseudo-Goldstone bosons in QCD

Cited by in corpus (46)

• The nonperturbative functional renormalization group and its applications
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Chiral phase transition temperature in (2+1)-Flavor QCD
• Chiral phase boundary of QCD at finite temperature
• Chiral transition in a finite system and possible use of finite size scaling in relativistic heavy ion collisions
• On the Phase Structure of QCD in a Finite Volume
• Chiral Susceptibility in (2+1)-flavour QCD
• Ising and Gross-Neveu model in next-to-leading order
• Quantum field theory on toroidal topology: algebraic structure and applications
• The Effect of Fluctuations on the QCD Critical Point in a Finite Volume
• Finite-size effects on the phase structure of the Nambu-Jona-Lasinio model
• Finite-size scaling as a tool in the search for the QCD critical point in heavy ion data
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• Finite-size effects on the chiral phase diagram of four-fermion models in four dimensions
• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Quark mass and isospin dependence of the deconfining critical temperature
• 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
• Multidimensional hyperspin machine
• Inhomogeneous chiral condensation under rotation in the holographic QCD
• Nambu Jona Lasinio model with proper time regularization in a finite volume
• Scaling functions for the O(4)-model in d=3 dimensions
• Thermodynamics and quark susceptibilities: a Monte-Carlo approach to the PNJL model
• Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu--Jona-Lasinio model
• Finite-Size Scaling behavior in the O(4)-Model
• Casimir effect for nucleon parity doublets
• Lattice-fermionic Casimir effect and topological insulators
• Casimir effect for lattice fermions
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• Critical versus spurious fluctuations in the search for the QCD critical point
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Finite-size and Particle-number Effects in an Ultracold Fermi Gas at Unitarity
• Boundary effects on constituent quark masses and on chiral susceptibility in a four-fermion interaction model
• Multiplicity fluctuations near the QCD critical point
• Nambu-Jona-Lasinio model in a sphere
• Sensitivity of finite size effects to the boundary conditions and the vacuum term
• SU(3) deconfining phase transition with finite volume corrections due to a confined exterior
• Zero-mode contribution and quantized first order phase transition in a droplet quark matter
• Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Mass dependence of the deconfinement and chiral restoration critical temperatures in nonlocal SU(2) PNJL models
• Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
• Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration
• Effect of momentum anisotropy on quark matter in the quark-meson model
• Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
• Finite size effect on Dissociation and Diffusion of chiral partners in Nambu-Jona-Lasinio model