Strong Evidence In Favor OF The Existence Of S-Matrix For Strings In Plane Waves

Abstract

Field theories on the plane wave background are considered. We discuss that for such field theories one can only form 1+1 dimensional freely propagating wave packets. We analyze tree level four point functions of scalar field theory as well as scalars coupled to gauge fields in detail and show that these four point functions are well-behaved so that they can be interpreted as S-matrix elements for 2 particle $\to$ 2 particle scattering amplitudes. Therefore, at least classically, field theories on the plane wave background have S-matrix formulation.

arXiv commentLatex file, 26 pages, 4 eps figures. v3: In the end of paper there is a "Note Added" as an update of the results

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Cited by in corpus (14)

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• Strings in plane wave backgrounds
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• On the relation between local and geometric Lagrangians for higher spins
• String Theory on Parallelizable PP-Waves
• An alternative formulation of light-cone string field theory on the plane wave
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