Noether identities in Einstein--Dirac theory and the Lie derivative of spinor fields
Mathematical Physics
2020-11-24 v4 High Energy Physics - Theory
Differential Geometry
math.MP
Abstract
We characterize the Lie derivative of spinor fields from a variational point of view by resorting to the theory of the Lie derivative of sections of gauge-natural bundles. Noether identities from the gauge-natural invariance of the first variational derivative of the Einstein(--Cartan)--Dirac Lagrangian provide restrictions on the Lie derivative of fields.
Cite
@article{arxiv.math-ph/0612004,
title = {Noether identities in Einstein--Dirac theory and the Lie derivative of spinor fields},
author = {Marcella Palese and Ekkehart Winterroth},
journal= {arXiv preprint arXiv:math-ph/0612004},
year = {2020}
}
Comments
11 pages, completely rewritten, contains an example of application to the coupling of gravity with spinors; in v4 misprints corrected