D. Boyanovsky et Hj. De Vega, Non-Fermi-liquid aspects of cold and dense QED and QCD: Equilibrium and nonequilibrium - art. no. 034016, PHYS REV D, 6303(3), 2001, pp. 4016
We study equilibrium and nonequilibrium aspects of the normal state of cold
and dense QCD and QED. The exchange of dynamically screened magnetic gluon
s (photons) leads to infrared singularities in the fermion propagator for e
xcitations near the Fermi surface and the breakdown of the Fermi liquid des
cription, 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 quasiparticl
es near the Fermi surface. We find that all features scale with anomalous d
imensions: omega (p)(k)proportional to \k-k(F)\(1/(1-2 lambda)), Gamma (k)
proportional to \k-k(F)\(1(1-2 lambda)); Z(p)(k)proportional to \k-k(F)\(2
lambda/(1-2 lambda)) with lambda = alpha /6 pi for QED, (alpha (s)/6 pi)(N-
c(2)-1)/2N(c) for QCD with N-c colors and N-F flavors. The discontinuity of
the quasiparticle distribution at the Fermi surface vanishes. For k approx
imate tok(F) we find n(k)approximate to (kF)=sin[pi lambda]/2 pi lambda-(k-
k(F))/piM(1-4 lambda)+O(k-k(F))(2) with M the dynamical screening scale of
magnetic gluons (photons). The dynamical renormalization group is implement
ed to study nonequilibrium relaxation. The amplitude of single quasiparticl
e states with momentum near the Fermi surface falls off as \psi (k approxim
ate to kF)(t)\approximate to\psi (k approximate to kF)\(t(0))\e(-Gamma (k)(
t-t0))[t(0)/t](2 lambda). Thus quasiparticle states with Fermi momentum hav
e zero group velocity and relax with a power law with a coupling-dependent
anomalous dimension.