Towards S matrices on flat space and pp waves from SYM

Details Towards S matrices on flat space and pp waves from SYM Towards S matrices on flat space and pp waves from SYM

2005-01-03

arxiv.org/abs/hep-th/0501013v1

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, latex (25 pages+Appendices)

Scientific paper

We analyze the possibility of extracting S matrices on pp waves and flat space from SYM correlators. For pp waves, there is a subtlety in defining S matrices, but we can certainly obtain observables. Only extremal correlators survive the pp wave limit. A first quantized string approach is inconclusive, producing in the simplest form results that vanish in the pp wave limit. We define a procedure to get S matrices from SYM correlators, both for flat space and for pp waves, generalizing a procedure due to Giddings. We analyze nonrenormalized correlators: 2 and 3 -point functions and extremal correlators. For the extremal 3-point function, the SYM and AdS results for the S matrix match for the angular dependence, but the energy dependence doesn't.

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