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

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

2000-06-16

arxiv.org/abs/hep-th/0006127v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, AMStex

Scientific paper

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 $F^{\mu\nu}$ 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 $B_{\mu}^{ab}(x)$.

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