Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-09-14
Phys.Rev. D63 (2001) 034016
Physics
High Energy Physics
High Energy Physics - Phenomenology
39 pages, 2 figures
Scientific paper
10.1103/PhysRevD.63.034016
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 $\lambda = \frac{\alpha}{6\pi} ~ {for QED} \vspace{0.5 ex} ~,~ \frac{\alpha_s}{6\pi} \frac{N^2_c-1}{2N_c} \~~{for QCD with}$. 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.
Boyanovsky Daniel
de Vega Hector J.
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