The Noncommutative S-Matrix

Details The Noncommutative S-Matrix The Noncommutative S-Matrix

2009-03-02

arxiv.org/abs/0903.0380v1

JHEP 0906:005,2009

Physics

High Energy Physics

High Energy Physics - Theory

44 pages

Scientific paper

10.1088/1126-6708/2009/06/005

As a simple example of how recently developed on-shell techniques apply to nonlocal theories, we study the S-matrix of noncommutative gauge theories. In the complex plane, this S-matrix has essential singularities that signal the nonlocal behavior of the theory. In spite of this, we show that tree-level amplitudes may be obtained by BCFW type recursion relations. At one loop we find a complete basis of master integrals (this basis is larger than the corresponding basis in the ordinary theory). Any one-loop noncommutative amplitude may be written as a linear combination of these integrals with coefficients that we relate to products of tree amplitudes. We show that the noncommutative N=4 SYM theory has a structurally simple S-matrix, just like the ordinary N=4 SYM theory.

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