Conservation of the Dirac Current in Models with a General Spin Connection

Abstract

Here I obtain the conditions necessary for the conservation of the Dirac current when one substitutes the assumption ${\gamma }_{|B}^A=0$ for ${\gamma }_{|B}^A=[V_B,{\gamma }^A]$, where the ${\gamma }^A$s are the Dirac matrices and "$|$" represents the components of the covariant derivative. As an application, I apply these conditions to the model used in Ref. [M. Novello, Phys. Rev. {\bf D8}, 2398 (1973)].

6 pages

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