Built on

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Similar

N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, “New Identities among Gauge Theory Amplitudes,” Phys. Lett. B 691
Original
2010
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, “Proof of Gravity and Yang-Mills Amplitude Relations,” JHEP 1009
Original
2010
Cited alongside, same era.
B. Feng and S. He, “KLT and New Relations for N=8 SUGRA and N=4 SYM,” JHEP 1009
Original
2010
Cited alongside, same era.
Z. Bern, J. J. M. Carrasco, H. Johansson and , “Perturbative Quantum Gravity as a Double Copy of Gauge Theory,” Phys. Rev. Lett. 105
Original
2010
Cited alongside, same era.
Z. Bern, T. Dennen, Y. -t. Huang and M. Kiermaier, “Gravity as the Square of Gauge Theory,” Phys. Rev. D 82

Then

C. R. Mafra, O. Schlotterer, S. Stieberger and , “Explicit BCJ Numerators from Pure Spinors,” JHEP 1107
Original
2011
Later among the works it cites.
R. Monteiro and D. O’Connell, “The Kinematic Algebra From the Self-Dual Sector,” JHEP 1107
Original
2011
Later among the works it cites.
Y. -J. Du, B. Feng and C. -H. Fu, “BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory,” JHEP 1108
Original
2011
Later among the works it cites.
Z. Bern and T. Dennen, “A Color Dual Form for Gauge-Theory Amplitudes,” Phys. Rev. Lett. 107
Original
2011
Later among the works it cites.
Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson, R. Roiban and , “Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes,” Phys. Rev. D 85

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2013

The Construction of Dual-trace Factor in Yang-Mills Theory

Du, Yi-Jian, Feng, Bo, Fu, Chih-Hao

Understand

Recently, a BCJ dual of the color-ordered formula for Yang-Mills amplitude was proposed, where the dual-trace factor satisfies cyclic symmetry and KK-relation.

In this paper, we present a systematic construction of the dual-trace factor based on its proposed relations to kinematic numerators in dual-DDM form.
We show that the construction presented respects relabeling symmetry.
In addition, we show that using relabeling symmetry as conditions, the same construction can be solved independently.