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Graviton scattering amplitudes in M theory

Becker, Katrin and Becker, Melanie (1998) Graviton scattering amplitudes in M theory. Physical Review D, 57 (10). pp. 6464-6470. ISSN 0556-2821.

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We compute graviton scattering amplitudes in M theory using Feynman rules for a scalar particle coupled to gravity in eleven dimensions. The processes that we consider describe the single graviton exchange and the double graviton exchange, that in M(atrix) theory correspond to the v^4/r^7 and v^6/r^14 term, respectively. We argue that the v^6/r^14 term appearing in M(atrix) theory at two loops can be obtained from the covariant eleven-dimensional four-graviton amplitude. Finally, we calculate the v^8/r^18 term appearing at two loops in M(atrix) theory. It has been previously conjectured that this term is related to a four graviton scattering amplitude involving the R^4 vertex of M theory.

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Additional Information:©1998 The American Physical Society. Received 5 January 1998. We would like to thank M. Dine, W. Fischler, M. Green, D. Gross, J. Maldacena, J. Polchinski, A. Rajaraman, J. Schwarz, S. Shenker, and L. Susskind for useful discussions. This work was supported by the U.S. Department of Energy under Grant No. DE-FG03-92-ER40701.
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Deposited On:21 May 2008
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