Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Noncommutative S-Matrix   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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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga