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

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

2000-11-28

arxiv.org/abs/hep-ph/0011354v2

Phys.Rev. D63 (2001) 114028

Physics

High Energy Physics

High Energy Physics - Phenomenology

new discussion, updated references, accepted in PRD

Scientific paper

10.1103/PhysRevD.63.114028

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.

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