Physics
Scientific paper
Apr 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003nwap.conf..113d&link_type=abstract
NEW WORLDS IN ASTROPARTICLE PHYSICS. Proceedings of the Fourth International Workshop. Held 5-7 September 2002 in Faro, Portugal
Physics
Scientific paper
We study equilibrium and non-equilibrium aspects of the normal state of cold and dense QCD and QED. The exchange of dynamically screened magnetic gluons (photons) leads to infrared singularities in the fermion propagator for excitations near the Fermi surface and the breakdown of the Fermi liquid description. We implement a resummation of these infrared divergences via the Euclidean renormalization group to obtain the spectral density, dispersion relation, widths and wave function renormalization for single quasiparticles near the Fermi surface. We find that all feature scaling with anomalous dimensions:ω p(k) ∝ |k - kF|1/{1-2λ} Γ (k) ∝ |k - kF|1/{1-2λ} Zp(k) ∝ |k - kF|{2λ}/{1-2λ} with λ {α}/{6π} for QED, {αs}/{6π} {N2c-1}/{2Nc} for QCD with Nc colors and NF flavors. The discontinuity of the quasiparticle distribution at the Fermi surface vanishes. For k ≈ kF we find nk≈{kF} = (sin[π λ ])/(2π λ) - {k-{kF}}/{π M(1-4λ )} + O(k - kF)2 with M the dynamical screening scale of magnetic gluons (photons). The dynamical renormalization group is implemented to study non-equilibrium relaxation. The amplitude of single quasiparticle states with momentum near the Fermi surface falls off as |Ψ k≈{kF}(t)| ≈ |Ψ k≈{kF}(t0)|e-Γ(k) (t-{t0)}[t0/t]2λ . Thus quasiparticle states with Fermi momentum have zero group velocity and relax with a power law with a coupling dependent anomalous dimension. 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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