Cuccieri, A. and Porrati, M. and Deser, S. (1995) Tree-level unitarity constraints on the gravitational couplings of higher-spin massive fields. Physical Review D, 51 (8). pp. 4543-4549. ISSN 2470-0010. doi:10.1103/PhysRevD.51.4543. https://resolver.caltech.edu/CaltechAUTHORS:20170110-132413017
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Abstract
We analyze the high-energy behavior of tree-level graviton Compton amplitudes for particles of mass m and arbitrary spin, concentrating on a combination of forward amplitudes that will be unaffected by eventual cross couplings to other, higher spins. We first show that for any spin > 2, tree-level unitarity is already violated at energies ∼ √mM_(P1), rather than at the Planck scale M_(P1), even for m≪ M_(P1). We then restore unitarity to this amplitude up to M_(P1) by adding nonminimal couplings that depend on the curvature and its derivatives, and modify the minimal description, including particle gravitational quadrupole moments, at ∼m^(-1) scales.
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Additional Information: | © 1995 American Physical Society. (Received 15 August 1994) S.D. was supported in part by the NSF under Grants No. PHY 93-15811 and No. PHY 92-45316 and by the Ambrose Monell Foundation, at the Institute for Advanced Study; M.P. was supported. in part by NSF under Grant No. PHY 93-18781. We gratefully acknowledge the pioneering and fundamental contributions to this, as to so many other parts of physics, by the late Julian Schwinger. | ||||||||||||
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Issue or Number: | 8 | ||||||||||||
Classification Code: | PACS number(s): 11.15.Bt, 04.60.—m, 04.62.+v, 11.90.+t | ||||||||||||
DOI: | 10.1103/PhysRevD.51.4543 | ||||||||||||
Record Number: | CaltechAUTHORS:20170110-132413017 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170110-132413017 | ||||||||||||
Official Citation: | Tree-level unitarity constraints on the gravitational couplings of higher-spin massive fields A. Cuccieri, M. Porrati, and S. Deser Phys. Rev. D 51, 4543 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 73384 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | George Porter | ||||||||||||
Deposited On: | 10 Jan 2017 21:57 | ||||||||||||
Last Modified: | 11 Nov 2021 05:15 |
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