Nonequilibrium truncation scheme for the statistical mechanics of relativistic matter

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Abstract
In this paper we apply a new self-consistent truncation scheme to the infinite coupled hierarchy of transport equations that describe a relativistic plasma. In particular we describe in detail the truncated transport equations for a charged scalar plasma and a neutral scalar plasma in the pairing-approximation limit. We include a brief discussion of particle production within our language. The quantum-mechanical dynamical equations for a positive-energy electron plasma are also cast in a form suitable for approximation within our truncation scheme.