Covariant differentiation of spinors for a general affine connection
General Relativity and Quantum Cosmology
2007-11-13 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0710.3982,
title = {Covariant differentiation of spinors for a general affine connection},
author = {Nikodem J. Poplawski},
journal= {arXiv preprint arXiv:0710.3982},
year = {2007}
}
Comments
8 pages; introduction and references added, minor errors corrected