Quantum fluctuations of the relativistic scalar plasma in the Hartree-Vlasov approximation

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Abstract
The quantum fluctuations of the relativistic quantum scalar plasma (i.e., a system of spin-½ fermions interacting through the exchange of scalar particles via a Yukawa-type interaction) are considered within the context of the covariant Wigner-function approach studied elsewhere. The usual infinities occurring in the conventional many-body theory appear as a consequence of a vacuum Wigner function. They are removed in the Hartree-Vlasov approximation for thermal equilibrium. Results previously obtained by Chin are recovered. The effect of these quantum fluctuations on abnormal matter is briefly discussed. For the sake of illustration, numerical results are given and compared to those first obtained by Kalman.