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arXiv · 1009.5073

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

Jia-Hui Huang·Rijun Huang·Yin Jia
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Abstract

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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Jia-Hui Huang, Rijun Huang, Yin Jia. 2010-09-26. Tree amplitudes of noncommutative U(N) Yang-Mills Theory. https://doi.org/10.1088/1751-8113/44/42/425401

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