Universal aspects of the phase diagram of QCD with heavy quarks

Abstract

The flavor dependence of the QCD phase diagram presents universal properties in the heavy quark limit. For the wide class of models where the quarks are treated at the one-loop level, we show, for arbitrary chemical potential, that the flavor dependence of the critical quark masses-for which the confinement-deconfinement transition is second order-is insensitive to the details of the (confining) gluon dynamics and that the critical temperature is constant along the corresponding critical line. We illustrate this with explicit results in various such one-loop models studied in the literature: effective matrix models for the Polyakov loop, the Curci-Ferrari model, and a recently proposed Gribov-Zwanziger-type model. We further observe that the predictions which follow from this one-loop universality property are well satisfied by different calculations beyond one-loop order, including lattice simulations. For degenerate quarks, we propose a simple universal law for the flavor dependence of the critical mass, satisfied by all approaches.

arXiv comment4 pages, 1 figure ; published version

References in corpus (24)

• Full result for the QCD equation of state with 2+1 flavors
• The phase diagram of dense QCD
• The QCD phase diagram for small densities from imaginary chemical potential
• The Phase Structure of the Polyakov--Quark-Meson Model
• Challenges in QCD matter physics - The Compressed Baryonic Matter experiment at FAIR
• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• Quark Matter In Massive Compact Stars
• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• The Gribov problem and QCD dynamics
• QCD phase diagram and the critical point
• On the relation of quark confinement and chiral symmetry breaking
• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
• The QCD deconfinement transition for heavy quarks and all baryon chemical potentials
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potential
• STAR experiment results from the beam energy scan program at RHIC
• Phase structure of finite temperature QCD in the heavy quark region
• Critical endpoint for deconfinement in matrix and other effective models
• The phase structure of QCD for heavy quarks
• A perturbative study of the QCD phase diagram for heavy quarks at nonzero chemical potential: two-loop corrections
• The Quark-Mass Dependence of T_C in QCD: Working up from m=0 or down from m=infinity ?
• Polyakov loop fluctuations and deconfinement in the limit of heavy quarks
• The Roberge-Weiss transition and 't Hooft loops
• A Gribov-Zwanziger type action invariant under background gauge transformations

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• 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
• QCD phase structure from functional methods
• Chiral phase structure and critical end point in QCD
• Mass sensitivity of the three-flavor chiral phase transition
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• Gluon propagator in two-color dense QCD: Massive Yang-Mills approach at one-loop
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• Localized rainbows in the QCD phase diagram
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Two-loop corrections to the QCD propagators within the Curci-Ferrari model
• Quark and Polyakov-loop correlations in effective models at zero and non-vanishing density
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
• Cold quark matter with heavy quarks and the stability of charm stars
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach
• Dynamically massive linear covariant gauges: setup and first results
• QCD phase diagram from the gluon propagator at finite temperature and density
• A window on infrared QCD with small expansion parameters
• Implications of the Topological Chern-Simons mass in the Gap Equation
• Interacting quark matter effects on the structure of compact stars
• The scalar sunset diagram at finite temperature with imaginary square masses