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arXiv · 2303.14921

Sources of torsion in Poincare gauge theory

James T. Wheeler
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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.

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James T. Wheeler. 2023-03-27. Sources of torsion in Poincare gauge theory. https://doi.org/10.1140/epjc%2Fs10052-023-11812-4

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