Title: Note on construction of dual-trace factor in Yang-Mills theory
Authors: Fu, Chih-Hao
Du, Yi-Jian
Feng, Bo
電子物理學系
Department of Electrophysics
Keywords: Scattering Amplitudes;Gauge Symmetry
Issue Date: 11-Oct-2013
Abstract: 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.
URI: http://dx.doi.org/10.1007/JHEP10(2013)069
http://hdl.handle.net/11536/22980
ISSN: 1029-8479
DOI: 10.1007/JHEP10(2013)069
Journal: JOURNAL OF HIGH ENERGY PHYSICS
Volume: 
Issue: 10
End Page: 
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