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DISPERSION RELATIONS IN ULTRADEGENERATE RELATIVISTIC PLASMAS (2000)
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BibTeX
@MISC{Manuel00dispersionrelations,
author = {Cristina Manuel},
title = {DISPERSION RELATIONS IN ULTRADEGENERATE RELATIVISTIC PLASMAS},
year = {2000}
}
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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 (gaugeindependent) 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 non-relativistic dispersion relations of condensed matter systems.
Keyphrases
dispersion relation ultradegenerate relativistic plasma on-shell self-energy different phase-space restriction small value one-loop dispersion relation excitation mode relativistic ultradegenerate plasma dispersion relation fermi momentum condensed matter system unscreened magnetic interaction fermi velocity normal fermi liquid behavior soft photon non-relativistic dispersion relation relativistic system one-loop fermion self-energy fermi sea
