Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-12-27
Phys.Rev. D57 (1998) 6464-6470
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, tex, no figures
Scientific paper
10.1103/PhysRevD.57.6464
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 further show 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.
Becker Katrin
Becker Melanie
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