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Relationship between gravity and gauge scattering in the high energy limit

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Abstract

Investigations of high-energy graviton-graviton and gluon-gluon scattering are performed in the leading eikonal approximation for the kinematic regime of large center of mass energy and low momentum transfer. When we retain only a set of gauge theory diagrams for which the collinear divergences cancel amongst themselves, we find a double copy relation between the amplitudes of the two theories to all loop orders. For this to happen the color structure of all diagrams in a set must be arranged to be identical. Using standard field theoretic methods, it is shown that this relation is reflected in a similar double copy relationship between the classical shockwaves of the two theories as well.

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Authors and Affiliations

  1. Michigan Center for Theoretical Physics, Randall Laboratory of Physics, University of Michigan, Ann Arbor, MI, 48109-1120, U.S.A.

    Ryo Saotome & Ratindranath Akhoury

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  1. Ryo Saotome
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  2. Ratindranath Akhoury
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Correspondence to Ryo Saotome.

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ArXiv ePrint: 1210.8111

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Saotome, R., Akhoury, R. Relationship between gravity and gauge scattering in the high energy limit. J. High Energ. Phys. 2013, 123 (2013). https://doi.org/10.1007/JHEP01(2013)123

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  • DOI: https://doi.org/10.1007/JHEP01(2013)123

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