Covariant derivative of fermions and all that
General Relativity and Quantum Cosmology
2022-11-28 v2
Abstract
We present detailed pedagogical derivation of covariant derivative of fermions and some related expressions, including commutator of covariant derivatives and energy-momentum tensor of a free Dirac field. On top of that, local conformal transformations for a Dirac fermion in curved spacetime are considered and we obtain the expression for the energy-momentum tensor on the cosmological background.
Keywords
Cite
@article{arxiv.1611.02263,
title = {Covariant derivative of fermions and all that},
author = {Ilya L. Shapiro},
journal= {arXiv preprint arXiv:1611.02263},
year = {2022}
}
Comments
20 pages, no figures. Misprints corrected in v2, the style of presentation was slightly modified, and general discussions were extended. Fits the version published in Universe