Covariant derivative of fermions and all that

Ilya L. Shapiro

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arXiv · 1611.02263

Covariant derivative of fermions and all that

Ilya L. Shapiro

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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.

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Ilya L. Shapiro. 2016-11-07. Covariant derivative of fermions and all that. https://arxiv.org/abs/1611.02263

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