Some Comments of Vlasov-Liouville Equation and its Relation with Gravitational Field

Abstract

We discuss here the possibility to write the Liouville-Vlasov equation for the Wigner-function of a spinor field coupled to a gauge field with field strength tensor Fμ in a curved space-time versus a local Lorentz manifold (introduction of local Lorentz coordinates) with an appropriate definition of a covariant derivative carried out using a spin connection Bμab(x).

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