Hydrodynamic representation and energy balance for Dirac and Weyl fermions in curved space-times

Abstract Using a generalized Madelung transformation, we derive the hydrodynamic representation of the Dirac equation in arbitrary curved space-times coupled to an electromagnetic field. We obtain Dirac–Euler equations for fermions involving a continuity equation and a first integral of the Bernoull...

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Bibliographic Details
Main Authors: Tonatiuh Matos, Omar Gallegos, Pierre-Henri Chavanis
Format: Article
Language:English
Published: SpringerOpen 2022-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10853-5