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Title: Massive spin-2 scattering and asymptotic superluminality

Abstract

We place model-independent constraints on theories of massive spin-2 particles by considering the positivity of the phase shift in eikonal scattering. The phase shift is an asymptotic S-matrix observable, related to the time delay/advance experienced by a particle during scattering. Demanding the absence of a time advance leads to constraints on the cubic vertices present in the theory. We conclude that, in theories with massive spin-2 particles, requiring no time advance means that either: (i) the cubic vertices must appear as a particular linear combination of the Einstein-Hilbert cubic vertex and an h μν3 potential term or (ii) new degrees of freedom or strong coupling must enter at parametrically the mass of the massive spin-2 field. These consequences have implications for a variety of situations. Applied to theories of large-N QCD, this indicates that any spectrum with an isolated massive spin-2 at the bottom must have these particular cubic self-couplings. Applied to de Rham-Gabadadze-Tolley massive gravity, the constraint is in accord with results obtained from a shockwave calculation: of the two free dimensionless parameters in the theory there is a one parameter line consistent with a subluminal phase shift.

Authors:
 [1];  [2];  [2]
  1. Case Western Reserve Univ., Cleveland, OH (United States)
  2. Columbia Univ., New York, NY (United States)
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1499143
Grant/Contract Number:  
SC0011941
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: 2018; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Classical Theories of Gravity; Effective Field Theories

Citation Formats

Hinterbichler, Kurt, Joyce, Austin, and Rosen, Rachel A. Massive spin-2 scattering and asymptotic superluminality. United States: N. p., 2018. Web. doi:10.1007/jhep03(2018)051.
Hinterbichler, Kurt, Joyce, Austin, & Rosen, Rachel A. Massive spin-2 scattering and asymptotic superluminality. United States. https://doi.org/10.1007/jhep03(2018)051
Hinterbichler, Kurt, Joyce, Austin, and Rosen, Rachel A. Fri . "Massive spin-2 scattering and asymptotic superluminality". United States. https://doi.org/10.1007/jhep03(2018)051. https://www.osti.gov/servlets/purl/1499143.
@article{osti_1499143,
title = {Massive spin-2 scattering and asymptotic superluminality},
author = {Hinterbichler, Kurt and Joyce, Austin and Rosen, Rachel A.},
abstractNote = {We place model-independent constraints on theories of massive spin-2 particles by considering the positivity of the phase shift in eikonal scattering. The phase shift is an asymptotic S-matrix observable, related to the time delay/advance experienced by a particle during scattering. Demanding the absence of a time advance leads to constraints on the cubic vertices present in the theory. We conclude that, in theories with massive spin-2 particles, requiring no time advance means that either: (i) the cubic vertices must appear as a particular linear combination of the Einstein-Hilbert cubic vertex and an h μν3 potential term or (ii) new degrees of freedom or strong coupling must enter at parametrically the mass of the massive spin-2 field. These consequences have implications for a variety of situations. Applied to theories of large-N QCD, this indicates that any spectrum with an isolated massive spin-2 at the bottom must have these particular cubic self-couplings. Applied to de Rham-Gabadadze-Tolley massive gravity, the constraint is in accord with results obtained from a shockwave calculation: of the two free dimensionless parameters in the theory there is a one parameter line consistent with a subluminal phase shift.},
doi = {10.1007/jhep03(2018)051},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2018,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
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Cited by: 17 works
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Figures / Tables:

Figure 1 Figure 1: The shockwave geometry and its connection to scattering. The shockwave travels in the x- direction. It is traversed by a particle traveling in the x+ direction which experiences a time delay Δx- as it crosses the shock.

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