The axial anomaly and the phases of dense QCD

Abstract

The QCD axial anomaly, by coupling the chiral condensate and BCS pairing fields of quarks in dense matter, leads to a new critical point in the QCD phase diagram \cite{HTYB,chiral2}, which at sufficiently low temperature should terminate the line of phase transitions between chirally broken hadronic matter and color superconducting quark matter. The critical point indicates that matter at low temperature should cross over smoothly from the hadronic to the quark phase, as suggested earlier on the basis of symmetry. We review here the arguments, based on a general Ginzburg-Landau effective Lagrangian, for the existence of the new critical point, as well as discuss possible connections between the QCD phase structure and the BEC-BCS crossover in ultracold trapped atomic fermion systems at unitarity. and implications for the presence of quark matter in neutron stars.

arXiv comment8 pages, Proceedings of Quark Matter 2008, Jaipur

References in corpus (22)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The equation of state for nucleon matter and neutron star structure
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Chiral effective model with the Polyakov loop
• Polyakov loop, diquarks and the two-flavour phase diagram
• Continuity of Quark and Hadron Matter
• Phase diagram of a two-component Fermi gas with resonant interactions
• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
• Colour Deconfinement in Nuclear Collisions
• The superfluid phases of quark matter: Ginzburg-Landau theory and color neutrality
• Phase structure, collective modes, and the axial anomaly in dense QCD
• The Shear Viscosity to Entropy Density Ratio of Trapped Fermions in the Unitarity Limit
• Shear viscosity of a superfluid Fermi gas in the unitarity limit
• Shear viscosity and damping for a Fermi gas in the unitarity limit
• Structural Change of Cooper Pairs and Momentum-dependent Gap in Color Superconductivity
• Chiral Symmetry and Heavy-Ion Collisions
• From AGS-SPS and Onwards to the LHC
• QCD at Non-Zero Density : Lattice Results
• Phases and properties of quark matter

Cited by in corpus (22)

• The phase diagram of dense QCD
• Astrophysical Measurement of the Equation of State of Neutron Star Matter
• Hadron-Quark Crossover and Massive Hybrid Stars
• Hybrid Stars in a Strong Magnetic Field
• Non-congruence of the nuclear liquid-gas and deconfinement phase transitions
• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
• Hard-core deconfinement and soft-surface delocalization from nuclear to quark matter
• Dense baryonic matter: constraints from recent neutron star observations
• Singular values of the Dirac operator in dense QCD-like theories
• Simulating dense QCD matter with ultracold atomic boson-fermion mixtures
• Population imbalance and pairing in the BCS-BEC crossover of three-component ultracold fermions
• The role of strangeness in hybrid stars and possible observables
• Role of two-flavor color superconductor pairing in a three-flavor Nambu--Jona-Lasinio model with axial anomaly
• Instanton-induced crossover in dense QCD
• Tabulated Neutron Star Equations of State Modeled within the Chiral Mean Field Model
• Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
• Pair condensation in a Finite Trapped Fermi Gas
• Roles of axial anomaly on neutral quark matter with color superconducting phase
• Relativistic BCS-BEC crossover of a two-species Fermi gas with number density asymmetry at zero temperature
• Skyrmions at finite density and temperature: the chiral phase transition
• The QCD Phase Diagram from Chiral Approaches
• Large N Expansion for Strongly-coupled Boson-Fermion Mixtures