Fermionic dispersion relations in ultradegenerate relativistic plasmas beyond leading logarithmic order

Abstract

We determine the dispersion relations of fermionic quasiparticles in ultradegenerate plasmas by a complete evaluation of the on-shell hard-dense-loop-resummed one-loop fermion self energy for momenta of the order of the Fermi momentum and above. In the case of zero temperature, we calculate the nonanalytic terms in the vicinity of the Fermi surface beyond the known logarithmic approximation, which turn out to involve fractional higher powers in the energy variable. For nonzero temperature (but much smaller than the chemical potential), we obtain the analogous expansion in closed form, which is then analytic but involves polylogarithms. These expansions are compared with a full numerical evaluation of the resulting group velocities and damping coefficients.

9 pages, 2 figures, REVTeX4, v2: minor improvements

References in corpus (17)

• Superconductivity by long-range color magnetic interaction in high-density quark matter
• On the Perturbative Nature of Color Superconductivity
• Lifetimes of quasiparticles and collective excitations in hot QED plasmas
• Hard Dense Loops in a Cold Non-Abelian Plasma
• Braaten-Pisarski Method at Finite Chemical Potential
• Non-Fermi Liquid Behavior In Quantum Critical Systems
• How the quark self-energy affects the color-superconducting gap
• Non-Fermi Liquid Behaviour, the BRST Identity in the Dense Quark-Gluon Plasma and Color Superconductivity
• Non-Fermi Liquid Effects in QCD at High Density
• Neutrino Emission from Ungapped Quark Matter
• Dispersion Relations in Ultradegenerate Relativistic Plasmas
• Non-Fermi-Liquid Specific Heat of Normal Degenerate Quark Matter
• Anomalous specific heat in high-density QED and QCD
• Non-Fermi Liquid Aspects of Cold and Dense QED and QCD: Equilibrium and Non-Equilibrium
• Damping Rate of Quasiparticles in Degenerate Ultrarelativistic Plasmas
• Damping rates of hard momentum particles in a cold ultrarelativistic plasma
• The Specific Heat of Normal, Degenerate Quark Matter: Non-Fermi Liquid Corrections

Cited by in corpus (25)

• Color superconductivity in dense quark matter
• Perturbative Thermal QCD: Formalism and Applications
• Cool quark matter
• Reaction rates and transport in neutron stars
• The pressure of deconfined QCD for all temperatures and quark chemical potentials
• Relativistic BCS-BEC crossover in a boson-fermion model
• Phase space and quark mass effects in neutrino emissions in a color superconductor
• Non-Fermi Liquid Behavior Induced by Resonant Diquark-pair Scattering in Heated Quark Matter
• Damping rate of a fermion in ultradegenerate chiral matter
• Non-Fermi liquid corrections to the neutrino mean free path in dense quark matter
• Low Energy Dynamics in Ultradegenerate QCD Matter
• Ultra-soft fermionic excitation at finite chemical potential
• Next to leading order non Fermi liquid corrections to the neutrino emissivity and cooling of the neutron star
• Modifications to the pulsar kick velocity due to magnetic interactions in dense plasma
• Quark Matter Equation of State from Perturbative QCD
• Spontaneous magnetization in QCD and non-Fermi-liquid effects
• Non-Fermi-liquid effect in magnetic susceptibility
• Non-Fermi liquid behavior of the drag and diffusion coefficients in QED plasma
• The Kohn-Luttinger Effect in Gauge Theories
• Non-Fermi liquid behavior of thermal relaxation time in degenerate electron plasma
• Some aspects of color superconductivity: an introduction
• Astrophysical aspects of neutrino dynamics in ultra-degenerate quark gluon plasma
• Weak-coupling techniques for the thermodynamics of the quark-gluon plasma
• An Abelian Ward identity and the vertex corrections to the color superconducting gap
• Thermodynamics of QCD at large quark chemical potential