The Specific Heat of Normal, Degenerate Quark Matter: Non-Fermi Liquid Corrections

Abstract

In normal degenerate quark matter, the exchange of dynamically screened transverse gluons introduces infrared divergences in the quark self-energies that lead to the breakdown of the Fermi liquid description. If the core of neutron stars are composed of quark matter with a normal component, cooling by direct quark Urca processes may be modified by non-Fermi liquid corrections. We find that while the quasiparticle density of states is finite and non-zero at the Fermi surface, its frequency derivative diverges and results in non-Fermi liquid corrections to the specific heat of the normal, degenerate component of quark matter. We study these non-perturbative non-Fermi liquid corrections to the specific heat and the temperature dependence of the chemical potential and show that these lead to a reduction of the specific heat.

new discussion, updated references, accepted in PRD

References in corpus (12)

• Color superconductivity in weak coupling
• Magnetic fields within color superconducting neutron star cores
• Pulsars as Astrophysical Laboratories for Nuclear and Particle Physics
• Quark Hadron Continuity in QCD with one Flavor
• Prospects of Detecting Baryon and Quark Superfluidity from Cooling Neutron Stars
• Debye screening and Meissner effect in a two-flavor color superconductor
• The Transition Temperature to the Superconducting Phase of QCD at High Baryon Density
• Neutrino Propagation In Color Superconducting Quark Matter
• Debye screening and Meissner effect in a three-flavor color superconductor
• Non-Fermi Liquid Behaviour, the BRST Identity in the Dense Quark-Gluon Plasma and Color Superconductivity
• Dispersion Relations in Ultradegenerate Relativistic Plasmas
• Non-Fermi Liquid Aspects of Cold and Dense QED and QCD: Equilibrium and Non-Equilibrium

Cited by in corpus (14)

• Color superconductivity in dense quark matter
• NJL-model analysis of dense quark matter
• Advances in perturbative thermal field theory
• Non-Fermi Liquid Effects in QCD at High Density
• Non-Fermi-Liquid Specific Heat of Normal Degenerate Quark Matter
• Anomalous specific heat in high-density QED and QCD
• Thermodynamics of Large-N_f QCD at Finite Chemical Potential
• Fermionic dispersion relations in ultradegenerate relativistic plasmas beyond leading logarithmic order
• Non-Fermi liquid corrections to the neutrino mean free path in dense quark matter
• Dynamics near the critical point: the hot renormalization group in quantum field theory
• Spontaneous magnetization in QCD and non-Fermi-liquid effects
• Non-Fermi liquid behavior of the drag and diffusion coefficients in QED plasma
• Non-Fermi-liquid effect in magnetic susceptibility
• Thermodynamics of QCD at large quark chemical potential