Tree amplitudes of noncommutative U(N) Yang-Mills Theory
High Energy Physics - Theory
2015-05-20 v3
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.
Cite
@article{arxiv.1009.5073,
title = {Tree amplitudes of noncommutative U(N) Yang-Mills Theory},
author = {Jia-Hui Huang and Rijun Huang and Yin Jia},
journal= {arXiv preprint arXiv:1009.5073},
year = {2015}
}
Comments
24 pages, 3 figures. v2 References added. v3 some typos corrected