Covariant derivative of fermions and all that
arXiv:1611.02263
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.
arXiv comment20 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