Specific heat of normal, degenerate quark matter: Non-Fermi liquid corrections

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 cores 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 thai while the quasiparticle density of states is finite and nonzero 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.