Covariant differentiation of spinors for a general affine connection

Details Covariant differentiation of spinors for a general affine connection Covariant differentiation of spinors for a general affine connection

2007-10-22

arxiv.org/abs/0710.3982v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages; introduction and references added, minor errors corrected

Scientific paper

We show that the covariant derivative of a spinor for a general affine connection, not restricted to be metric compatible, is given by the Fock-Ivanenko coefficients with the antisymmetric part of the Lorentz connection. The projective invariance of the spinor connection allows to introduce gauge fields interacting with spinors. We also derive the relation between the curvature spinor and the curvature tensor for a general connection.

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