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Title: 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:
 [1];  [1]
  1. 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. https://doi.org/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 = {2016},
month = {4}
}

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Cited by: 8 works
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Works referenced in this record:

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    • DOI: 10.1088/1475-7516/2019/01/017

    Entropy bounds on effective field theory from rotating dyonic black holes
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    Constraints on a gravitational Higgs mechanism
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    Scattering amplitudes of massive spin-2 Kaluza-Klein states grow only as O ( s )
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    Bounds on amplitudes in effective theories with massive spinning particles
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    Positivity of Curvature-Squared Corrections in Gravity
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    Beyond Positivity Bounds and the Fate of Massive Gravity
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