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

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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.

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Authors and Affiliations

  1. Department of Electrophysics, National Chiao-Tung University and Physics Division, National Center for Theoretical Sciences, Hsinchu, Taiwan, R.O.C

    Chih-Hao Fu

  2. Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200433, P.R China

    Yi-Jian Du

  3. Zhejiang Institute of Modern Physics, Zhejiang University, 38 Zheda Road, Hangzhou, 310027, P.R. China

    Bo Feng

  4. Center of Mathematical Science, Zhejiang University, 38 Zheda Road, Hangzhou, 310027, P.R. China

    Bo Feng

Authors
  1. Chih-Hao Fu
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  2. Yi-Jian Du
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  3. Bo Feng
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Correspondence to Yi-Jian Du.

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ArXiv ePrint: 1305.2996

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Fu, CH., Du, YJ. & Feng, B. Note on construction of dual-trace factor in Yang-Mills theory. J. High Energ. Phys. 2013, 69 (2013). https://doi.org/10.1007/JHEP10(2013)069

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  • DOI: https://doi.org/10.1007/JHEP10(2013)069

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