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摘要
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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. Inspite 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 were late 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.
Keyword:
Non-Commutative Geometry
Supersymmetric gauge theory
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期刊
IF:
5.5
论文数:
3.9W
被引数:
13.7W
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