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Inconsistencies of massive charged gravitating higher spins

Deser, S. and Waldron, A. (2002) Inconsistencies of massive charged gravitating higher spins. Nuclear Physics B, 631 (1-2). pp. 369-387. ISSN 0550-3213. doi:10.1016/S0550-3213(02)00199-2.

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We examine the causality and degree-of-freedom (DoF) problems encountered by charged, gravitating, massive higher spin fields. For spin s = 3/2, making the metric dynamical yields improved causality bounds. These involve only the mass, the product eMP of the charge and Planck mass and the cosmological constant Λ. The bounds are themselves related to a gauge invariance of the timelike component of the field equation at the onset of acausality. While propagation is causal in arbitrary E/M backgrounds, the allowed mass ranges of parameters are of Planck order. Generically, interacting spins s > 3/2 are subject to DoF violations as well as to acausality; the former must be overcome before analysis of the latter can even begin. Here we review both difficulties for charged s = 2 and show that while a g-factor of 1/2 solves the DoF problem, acausality persists for any g. Separately we establish that no s = 2 theory — DoF preserving or otherwise — can be tree unitary.

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Deser, S.0000-0001-9285-9434
Additional Information:© 2002 Elsevier Science. Received 20 December 2001, Accepted 12 March 2002, Available online 11 April 2002. It is a pleasure to thank Bernard de Wit and especially Massimo Porrati for discussions in the early stages. This work was supported by the National Science Foundation under grant PHY99-73935.
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Issue or Number:1-2
Classification Code:PACS 03.65.Pm; 04.62.+v; 11.90.+t
Record Number:CaltechAUTHORS:20161216-094037524
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Official Citation:S. Deser, A. Waldron, Inconsistencies of massive charged gravitating higher spins, Nuclear Physics B, Volume 631, Issues 1–2, 3 June 2002, Pages 369-387, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72895
Deposited By: George Porter
Deposited On:16 Dec 2016 19:22
Last Modified:11 Nov 2021 05:08

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