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Causality, Renormalizability and Ultra-High Energy Gravitational Scattering

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arxiv 1601.06989 v1 pith:UMAAYS4D submitted 2016-01-26 hep-th gr-qc

Timothy J. Hollowood , Graham M. Shore This is my paper · ORCID
classification hep-thgr-qc
keywords causalityenergyscatteringactioneffectivegravitationallimitrenormalizability
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The amplitude A(s,t) for ultra-high energy scattering can be found in the leading eikonal approximation by considering propagation in an Aichelburg-Sexl gravitational shockwave background. Loop corrections in the QFT describing the scattered particles are encoded for energies below the Planck scale in an effective action which in general exhibits causality violation and Shapiro time advances. In this paper, we use Penrose limit techniques to calculate the full energy dependence of the scattering phase shift Theta_scat(hat_s},, where the single variable hat_s = Gs/m^2 b^(d-2) contains both the CM energy s and impact parameter b, for a range of scalar QFTs in d dimensions with different renormalizability properties. We evaluate the high-energy limit of Theta_scat(hat_s) and show in detail how causality is related to the existence of a well-defined UV completion. Similarities with graviton scattering and the corresponding resolution of causality violation in the effective action by string theory are briefly discussed.

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Cited by 2 Pith papers

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    In the standard effective field theory of gravity, gravitational waves on cosmological backgrounds propagate at a speed differing from unity, and analyticity arguments favor superluminal speed relative to matter.

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