Massive and massless spin-2 scattering and asymptotic superluminality
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Publication:1671873
DOI10.1007/JHEP06(2018)075zbMATH Open1395.83083arXiv1712.10020OpenAlexW2776260049WikidataQ114021603 ScholiaQ114021603MaRDI QIDQ1671873
Author name not available (Why is that?)
Publication date: 7 September 2018
Published in: (Search for Journal in Brave)
Abstract: We constrain theories of a massive spin-2 particle coupled to a massless spin-2 particle by demanding the absence of a time advance in eikonal scattering. This is an -matrix consideration that leads to model-independent constraints on the cubic vertices present in the theory. Of the possible cubic vertices for the two spin-2 particles, the requirement of subluminality leaves a particular linear combination of cubic vertices of the Einstein--Hilbert type. Either the cubic vertices must appear in this combination or new physics must enter at a scale parametrically the same as the mass of the massive spin-2 field. These conclusions imply that there is a one-parameter family of ghost-free bimetric theories of gravity that are consistent with subluminal scattering. When both particles couple to additional matter, subluminality places additional constraints on the matter couplings. We additionally reproduce these constraints by considering classical scattering off of a shockwave background in the ghost-free bimetric theory.
Full work available at URL: https://arxiv.org/abs/1712.10020
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