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

Carlos Pinheiro·F. C. Khanna
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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 $F^{μν}$ 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 $B_μ^{ab}(x)$.

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Carlos Pinheiro, F. C. Khanna. 2000-06-16. Some Comments of Vlasov-Liouville Equation and its Relation with Gravitational Field. https://arxiv.org/abs/hep-th/0006127

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