Chemical potential and the gap equation
arXiv:0807.2755 · doi:10.1103/PhysRevD.78.116015
Abstract
In general the kernel of QCD's gap equation possesses a domain of analyticity upon which the equation's solution at nonzero chemical potential is simply obtained from the in-vacuum result through analytic continuation. On this domain the single-quark number- and scalar-density distribution functions are mu-independent. This is illustrated via two models for the gap equation's kernel. The models are alike in concentrating support in the infrared. They differ in the form of the vertex but qualitatively the results are largely insensitive to the Ansatz. In vacuum both models realise chiral symmetry in the Nambu-Goldstone mode and in the chiral limit, with increasing chemical potential, exhibit a first-order chiral symmetry restoring transition at mu~M(0), where M(p^2) is the dressed-quark mass function. There is evidence to suggest that any associated deconfinement transition is coincident and also of first-order.
12 pages, 9 figures
References in corpus (58)
- NJL-model analysis of dense quark matter
- Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
- Dyson-Schwinger equations: a tool for hadron physics
- pi- and K-meson Bethe-Salpeter Amplitudes
- Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
- Pion mass and decay constant
- Constraints on the high-density nuclear equation of state from the phenomenology of compact stars and heavy-ion collisions
- Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
- Analytic properties of the Landau gauge gluon and quark propagators
- Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
- On the IR behaviour of the Landau-gauge ghost propagator
- Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
- Hadron Properties and Dyson-Schwinger Equations
- Analysis of a quenched lattice-QCD dressed-quark propagator
- Aspects and consequences of a dressed-quark-gluon vertex
- Pseudoscalar Meson Radial Excitations
- Aspects of Hadron Physics
- Survey of heavy-meson observables
- Electromagnetic properties of ground and excited state pseudoscalar mesons
- Perspective on rainbow-ladder truncation
- Continuum study of deconfinement at finite temperature
- Thermodynamic properties of a simple, confining model
- Confinement Phenomenology in the Bethe-Salpeter Equation
- Quark-gluon vertex model and lattice-QCD data
- Analysis of full-QCD and quenched-QCD lattice propagators
- Regarding confinement and dynamical chiral symmetry breaking in QED3
- A Systematic Extended Iterative Solution for QCD
- Dynamical chiral symmetry breaking and confinement with an infrared-vanishing gluon propagator?
- Flavour symmetry breaking and meson masses
- Dynamical chiral symmetry breaking and a critical mass
- Gauge covariance and the fermion-photon vertex in three- and four- dimensional, massless quantum electrodynamics
- Multiplicative renormalizability and quark propagator
- Color-superconductivity in the strong-coupling regime of Landau gauge QCD
- Quark-gluon vertex in general kinematics
- A dynamical, confining model and hot quark stars
- Deconfinement at finite chemical potential
- T-dependence of pseudoscalar and scalar correlations
- Semileptonic decays of heavy mesons
- Unquenching effects in the quark and gluon propagator
- Mind the gap
- Facets of confinement and dynamical chiral symmetry breaking
- Direct Urca neutrino rate in colour superconducting quark matter
- Density Dependence of Nucleon Bag Constant, Radius and Mass in an Effective Field Theory Model of QCD
- Concerning the quark condensate
- The decay constant of the first excited pion from lattice QCD
- Analytic proof that the Quark Model complies with the PCAC theorems
- Diquarks: condensation without bound states
- On the unlocking of color and flavor in color-superconducting quark matter
- Chiral Phase Transition of QCD at Finite Temperature and Density from Schwinger-Dyson Equation
- Dyson-Schwinger Equation and Quantum Phase Transitions in Massless QCD
- Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
- Simulating Dense Matter
- Study of Quark Propagator Solutions to the Dyson--Schwinger Equation in a Confining Model
- Covariance, Dynamics and Symmetries, and Hadron Form Factors
- Quark Condensates in Nuclear Matter in the Global Color Symmetry Model of QCD
- Reevaluation of the density dependence of nucleon radius and mass in the global color symmetry model of QCD
- Deconfinement and Chiral Symmetry Restoration
- Mesons as Bound States of Confined Quarks: Zero and Finite Temperature
Cited by in corpus (40)
- Equations of state for supernovae and compact stars
- QCD and strongly coupled gauge theories: challenges and perspectives
- Collective perspective on advances in Dyson-Schwinger Equation QCD
- Phase diagram and critical endpoint for strongly-interacting quarks
- Signatures of hadron-quark mixed phase in gravitational waves
- Vector interaction enhanced bag model for astrophysical applications
- Hybrid stars with the Dyson-Schwinger quark model
- QCD phase transitions via a refined truncation of Dyson-Schwinger equations
- Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
- Hybrid protoneutron stars with the Dyson-Schwinger quark model
- Critical endpoint in the presence of a chiral chemical potential
- Hybrid neutron stars with the Dyson-Schwinger quark model and various quark-gluon vertices
- Simultaneous chiral symmetry restoration and deconfinement - Consequences for the QCD phase diagram
- Continuum study on QCD phase diagram through an OPE-modified gluon propagator
- The QCD chiral transition temperature in a Dyson-Schwinger-equation context
- The equation of state and radial oscillations of neutron stars
- Cold quarks in medium: an equation of state
- Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
- QCD phase transition drives supernova explosion of a very massive star
- Strange quark matter and quark stars with the Dyson-Schwinger quark model
- Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
- Massive Hybrid Quark Stars with Strong Magnetic Field
- Vacuum pseudoscalar susceptibility
- Effect of strong magnetic field on competing order parameters in two-flavor dense quark matter
- Rotating hybrid stars with the Dyson-Schwinger quark model
- Evaluation of pion-nucleon sigma term in Dyson-Schwinger equation approach of QCD
- Hadron-Quark Phase Transitions in Hyperon Stars
- Non-radial oscillations and gravitational wave emission of hybrid neutron stars
- Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD
- Hadron-quark phase transition in neutron star by combining the relativistic Brueckner-Hartree-Fock theory and Dyson-Schwinger equation approach
- Consequences of simultaneous chiral symmetry breaking and deconfinement for the isospin symmetric phase diagram
- QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach
- QCD phase diagram from the gluon propagator at finite temperature and density
- Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation
- Constraints on the High-Density Nuclear Equation of State from Neutron Star Observables
- Unified Functional-Holographic Theory of the QCD Critical End Point
- Dyson-Schwinger Equations with a Parameterized Metric
- Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach
- Two-flavor hybrid stars with the Dyson-Schwinger quark model
- nonlocal quark condensate from Dyson-Schwinger Equation and its contributions to the gluon vacuum polarization based on OPE approach