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Dispersion relations in ultradegenerate relativistic plasmas

2000/05/31 by Cristina Manuel · 47 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dispersion (optics) #Dispersion relation #Electron #Energy–momentum relation #Excitation #Fermi Gamma-ray Space Telescope #Fermi energy #Fermi liquid theory #Fermion #Momentum (technical analysis) #Phase velocity #Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Quasiparticle #Superconductivity #cond-mat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.62.076009

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 62(7) (American Physical Society) · 14 pages; some comments on the helicities of the particles added; accepted for publication in PRD

arxiv created 2000/07/05 · openalex publication_date 2000/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The propagation of excitation modes in a relativistic ultradegenerate plasma is modified by their interactions with the medium. These modifications can be computed by evaluating their on-shell self-energy, which gives (gauge-independent) dispersion relations. For modes with momentum close to the Fermi momentum, the one-loop fermion self-energy is dominated by a diagram with a soft photon in the loop. We find the one-loop dispersion relations for quasiparticles and antiquasiparticles, which behave differently as a consequence of their very different phase-space restrictions when they scatter with the electrons of the Fermi sea. In a relativistic system, the unscreened magnetic interactions spoil the normal Fermi-liquid behavior of the plasma. For small values of the Fermi velocity, we recover the nonrelativistic dispersion relations of condensed-matter systems.

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