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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. http://resolver.caltech.edu/CaltechAUTHORS:BECprd98

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Abstract

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.


Item Type:Article
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.
Record Number:CaltechAUTHORS:BECprd98
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BECprd98
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.57.6464
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10593
Collection:CaltechAUTHORS
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Deposited On:21 May 2008
Last Modified:26 Dec 2012 10:02

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