Positive signs in massive gravity
Abstract
Here, we derive new constraints on massive gravity from unitarity and analyticity of scattering amplitudes. Our results apply to a general effective theory defined by Einstein gravity plus the leading soft diffeomorphism-breaking corrections. We calculate scattering amplitudes for all combinations of tensor, vector, and scalar polarizations. Furthermore, the high-energy behavior of these amplitudes prescribes a specific choice of couplings that ameliorates the ultraviolet cutoff, in agreement with existing literature. We then derive consistency conditions from analytic dispersion relations, which dictate positivity of certain combinations of parameters appearing in the forward scattering amplitudes. These constraints exclude all but a small island in the parameter space of ghost-free massive gravity. And while the theory of the "Galileon" scalar mode alone is known to be inconsistent with positivity constraints, this is remedied in the full massive gravity theory.
- Authors:
-
- California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1327304
- Grant/Contract Number:
- SC0010255; DGE-1144469
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 4; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Scattering Amplitudes; E ective eld theories; Models of Quantum Gravity
Citation Formats
Cheung, Clifford, and Remmen, Grant N. Positive signs in massive gravity. United States: N. p., 2016.
Web. doi:10.1007/JHEP04(2016)002.
Cheung, Clifford, & Remmen, Grant N. Positive signs in massive gravity. United States. https://doi.org/10.1007/JHEP04(2016)002
Cheung, Clifford, and Remmen, Grant N. Fri .
"Positive signs in massive gravity". United States. https://doi.org/10.1007/JHEP04(2016)002. https://www.osti.gov/servlets/purl/1327304.
@article{osti_1327304,
title = {Positive signs in massive gravity},
author = {Cheung, Clifford and Remmen, Grant N.},
abstractNote = {Here, we derive new constraints on massive gravity from unitarity and analyticity of scattering amplitudes. Our results apply to a general effective theory defined by Einstein gravity plus the leading soft diffeomorphism-breaking corrections. We calculate scattering amplitudes for all combinations of tensor, vector, and scalar polarizations. Furthermore, the high-energy behavior of these amplitudes prescribes a specific choice of couplings that ameliorates the ultraviolet cutoff, in agreement with existing literature. We then derive consistency conditions from analytic dispersion relations, which dictate positivity of certain combinations of parameters appearing in the forward scattering amplitudes. These constraints exclude all but a small island in the parameter space of ghost-free massive gravity. And while the theory of the "Galileon" scalar mode alone is known to be inconsistent with positivity constraints, this is remedied in the full massive gravity theory.},
doi = {10.1007/JHEP04(2016)002},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2016,
place = {United States},
year = {Fri Apr 01 00:00:00 EDT 2016},
month = {Fri Apr 01 00:00:00 EDT 2016}
}
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Works referencing / citing this record:
Slowly-rotating neutron stars in massive bigravity
journal, January 2018
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- Classical and Quantum Gravity, Vol. 35, Issue 4
Phenomenology in type-I minimally modified gravity
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Constraints on a gravitational Higgs mechanism
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Spin-2 fields and the weak gravity conjecture
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