Non-Fermi Liquid Aspects of Cold and Dense QED and QCD: Equilibrium and Non-Equilibrium

Abstract

Infrared divergences from the exchange of dynamically screened magnetic gluons (photons) lead to the breakdown of the Fermi liquid description of the {\em normal} state of cold and dense QCD and QED. We implement a resummation of these divergences via the renormalization group to obtain the spectral density, dispersion relation, widths and wave function renormalization of single quasiparticles near the Fermi surface. We find that all feature scaling with anomalous dimensions: ${\omega }_p(k)\propto |k-k_F{|}^{\frac{1}{1-2\lambda }};\Gamma (k)\propto |k-k_F{|}^{\frac{1}{1-2\lambda }};Z_p(k)\propto |k-k_F{|}^{\frac{2\lambda }{1-2\lambda }}$ with $λ= \fracα{6π} ~ {for QED} \vspace{0.5 ex} ~,~ \frac{α_s}{6π} \frac{N^2_c-1}{2N_c} \~~{for QCD with}$. The discontinuity of the distribution function for quasiparticles near the Fermi surface vanishes. The dynamical renormalization group is implemented to study the relaxation of quasiparticles in real time. Quasiparticles with Fermi momentum have vanishing group velocity and relax with a power law with a coupling dependent anomalous dimension.

39 pages, 2 figures

References in corpus (14)

• QCD-like Theories at Finite Baryon Density
• Color superconductivity in weak coupling
• Prospects of Detecting Baryon and Quark Superfluidity from Cooling Neutron Stars
• Debye screening and Meissner effect in a two-flavor color superconductor
• Dense QCD : Overhauser or BCS Pairing ?
• 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
• Possible evidence of quark matter in neutron star X-ray binaries
• Real-time nonequilibrium dynamics in hot QED plasmas: dynamical renormalization group approach
• Lifetime Effects in Color Superconductivity at Weak Coupling
• The Phases of QCD in Heavy Ion Collisions and Compact Stars

Cited by in corpus (32)

• Color superconductivity in dense quark matter
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Non-Fermi liquids from holography
• Advances in perturbative thermal field theory
• Dynamical renormalization group approach to relaxation in quantum field theory
• Holographic non-Fermi liquid fixed points
• How the quark self-energy affects the color-superconducting gap
• Non-Fermi Liquid Effects in QCD at High Density
• Neutrino Emission from Ungapped Quark Matter
• Hard Loops, Soft Loops, and High Density Effective Field Theory
• Charge transport by holographic Fermi surfaces
• Anomalous specific heat in high-density QED and QCD
• Non-Fermi-Liquid Specific Heat of Normal Degenerate Quark Matter
• Pseudogap of Color Superconductivity in Heated Quark Matter
• Thermodynamics of Large-N_f QCD at Finite Chemical Potential
• Fermionic dispersion relations in ultradegenerate relativistic plasmas beyond leading logarithmic order
• The Specific Heat of Normal, Degenerate Quark Matter: Non-Fermi Liquid Corrections
• Non-Fermi Liquid Behavior Induced by Resonant Diquark-pair Scattering in Heated Quark Matter
• 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
• Next to leading order non Fermi liquid corrections to the neutrino emissivity and cooling of the neutron star
• Unconventional behavior of Dirac fermions in three-dimensional gauge theory
• Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
• Spinning flavour branes and fermion pairing instabilities
• When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
• Spontaneous magnetization in QCD and non-Fermi-liquid effects
• Non-Fermi-liquid effect in magnetic susceptibility
• Fermi-liquid theory of imbalanced quark matter
• Non-Fermi liquid behavior of the drag and diffusion coefficients in QED plasma
• Quasiparticle excitations in relativistic quantum field theory
• Thermodynamics of QCD at large quark chemical potential
• An Abelian Ward identity and the vertex corrections to the color superconducting gap