Note on construction of dual-trace factor in Yang-Mills theory

被引：0
作者：
Chih-Hao Fu
Yi-Jian Du
Bo Feng
机构：
[1] National Chiao-Tung University and Physics Division,Department of Electrophysics
[2] National Center for Theoretical Sciences,Department of Physics and Center for Field Theory and Particle Physics
[3] Fudan University,Zhejiang Institute of Modern Physics
[4] Zhejiang University,Center of Mathematical Science
[5] Zhejiang University,undefined
来源：
Journal of High Energy Physics | / 2013卷
关键词：
Scattering Amplitudes; Gauge Symmetry;
D O I：
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学科分类号：
摘要：
In this note we provide a new construction of BCJ dual-trace factor using the kinematic algebra proposed in arXiv:1105.2565 and arXiv:1212.6168. Different from the construction given in arXiv:1304.2978 based on the proposal of arXiv:1103.0312, the method used in this note exploits the adjoint representation of kinematic algebra and the use of inner product in dual space. The dual-trace factor defined in this way naturally satisfies cyclic symmetry condition but not KK-relation, just like the trace of U(N) Lie algebra satisfies cyclic symmetry condition, but not KK-relation. In other words the new construction naturally leads to formulation sharing more similarities with the color decomposition of Yang-Mills amplitude.
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