Abstract
Color-ordered amplitudes for the scattering of n particles in the adjoint representation of SU(N ) gauge theory satisfy constraints that arise from group theory alone. These constraints break into subsets associated with irreducible representations of the symmetric group S n, which allows them to be presented in a compact and natural way. Using an iterative approach, we derive the constraints for six-point amplitudes at all loop orders, extending earlier results for n = 4 and n = 5. We then decompose the four-, five-, and six-point group-theory constraints into their irreducible S n subspaces. We comment briefly on higher-point two-loop amplitudes.
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ArXiv ePrint: 1207.5511
Research supported in part by the National Science Foundation under Grant No. PHY10-67961. (Stephen G. Naculich)
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Edison, A.C., Naculich, S.G. Symmetric-group decomposition of SU(N) group-theory constraints on four-, five-, and six-point color-ordered amplitudes at all loop orders. J. High Energ. Phys. 2012, 69 (2012). https://doi.org/10.1007/JHEP09(2012)069
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DOI: https://doi.org/10.1007/JHEP09(2012)069