Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-08-10
Physics
High Energy Physics
High Energy Physics - Theory
43 pages. Version 2 has a new section 13 with an explanation of why N=7 recursion is valid, plus minor corrections
Scientific paper
New methods are introduced for the description and evaluation of tree-level gravitational scattering amplitudes. An N=7 super-symmetric recursion, free from spurious double poles, gives a more efficient method for evaluating MHV amplitudes. The recursion is naturally associated with twistor geometry, and thereby gives a new interpretation for the amplitudes. The recursion leads to new expressions for the MHV amplitudes for six and seven gravitons, simplifying their symmetry properties, and suggesting further generalization. The N=7 recursion is valid for all tree amplitudes, and we illustrate it with a simplified expression for the six-graviton NMHV amplitude. Further new structure emerges when MHV amplitudes are expressed in terms of momentum twistors.
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