Quasiboson excitation spectrum of the relativistic quantum scalar plasma in the Hartree-Vlasov approximation

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Quantum Statistical Mechanics, Magnetohydrodynamics And Plasmas

Scientific paper

Using plasma-physics techniques (e.g., covariant Wigner functions) the excitation spectrum of the quasibosons within the so-called relativistic quantum scalar plasma (i.e., a system of spin-(1/2 fermions interacting with self-coupled scalar bosons via a Yukawa-type interaction) is derived both in the linearized Hartree-Vlasov approximation (random-phase approximation) and in perturbation at order 2. These spectra are compared and discussed in two cases: (i) in the ``semiclassical'' cases where vacuum effects are discarded and (ii) in the renormalized cases. Except at low densities where both perturbative and nonperturbative results agree, in general, strongly different behaviors occur.

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