Article
Sources of torsion in Poincare gauge theory
European Physical Journal C
(2023)
Abstract
We study sources for torsion in Poincare gauge theory of any dimension, signature, and spin. We find that symmetric kinetic terms for non-Yang-Mills bosonic fields of arbitrary rank drive torsion. Our detailed discussion of spin-3/2 Rarita-Schwinger fields shows that they source all independent parts of the torsion. We develop systematic notation for spin-(2k+1)/2 fields and find the spin tensor for arbitrary k in n > 2k dimensions. For k > 0 there is a novel direct coupling between torsion and spinor fields. We also cast the well-known gauge relation between the canonical and Belinfante-Rosenfield energy tensors in terms of different choices of independent variables.
Keywords
- General relativity,
- Poincare gauge theory,
- torsion,
- ECSK gravity,
- Sources for torsion
Disciplines
Publication Date
Summer July 26, 2023
DOI
https://doi.org/10.48550/arXiv.2303.14921
Publisher Statement
Related doi:
https://link.springer.com/article/10.1140/epjc/s10052-023-11812-4
Citation Information
James Thomas Wheeler. "Sources of torsion in Poincare gauge theory" European Physical Journal C Vol. 83 Iss. Article number 665(2023) (2023) ISSN: Electronic ISSN 1434-6052 Available at: http://works.bepress.com/james_wheeler/152/