2009/03/02 by Suvrat Raju
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/06/005
published as JHEP 0906:005,2009 · 44 pages
arxiv created 2009/03/02 · openalex publication_date 2009/06/03 · arxiv updated 2011/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
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.