Tree amplitudes of noncommutative U(N) Yang-Mills Theory

Details Tree amplitudes of noncommutative U(N) Yang-Mills Theory Tree amplitudes of noncommutative U(N) Yang-Mills Theory

2010-09-26

arxiv.org/abs/1009.5073v3

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 3 figures. v2 References added. v3 some typos corrected

Scientific paper

Following the spirit of S-matrix program, we proposed a modified Britto-Cachazo-Feng-Witten recursion relation for tree amplitudes of noncommutative U(N) Yang-Mills theory. Starting from three-point amplitudes, one can use this modified BCFW recursion relation to compute or analyze color-ordered tree amplitudes without relying on any detail information of noncommutative Yang-Mills theory. After clarifying the color structure of noncommutative tree amplitudes, we wrote down the noncommutative analogies of U(1)-decoupling, Kleiss-Kuijf and Bern-Carrasco-Johansson relations for color-ordered tree amplitudes, and proved them using the modified BCFW recursion relation.

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