Massive spin-2 scattering and asymptotic superluminality

Hinterbichler, Kurt; Joyce, Austin; Rosen, Rachel A.

doi:10.1007/jhep03(2018)051

Title: Massive spin-2 scattering and asymptotic superluminality

Journal Article · 09 March 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep03(2018)051 · OSTI ID:1499143

Hinterbichler, Kurt ^[1]; Joyce, Austin ^[2]; Rosen, Rachel A. ^[2]

Case Western Reserve Univ., Cleveland, OH (United States); Case Western Reserve Univ., Cleveland, OH (United States)
Columbia Univ., New York, NY (United States)

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 _μν³potential 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.

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Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011941

OSTI ID:: 1499143

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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