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Comment on the Identities of the Gluon Tree Amplitudes · Around

2010

Comment on the Identities of the Gluon Tree Amplitudes

Tye, S. -H. Henry, Zhang, Yang

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Recently, Bjerrum-Bohr, Damgaard, Feng and Sondergaard derived a set of new interesting quadratic identities of the Yang-Mills tree scattering amplitudes.

Here we comment that these quadratic identities of YM amplitudes actually follow directly from the KLT relation for graviton-dilaton-axion scattering amplitudes (in 4 dimensional spacetime).
This clarifies their physical origin and also provides a simpler version of the new identities.
We also comment that the recently discovered Bern-Carrasco-Johansson identities of YM helicity amplitudes can be verified by using (repeatedly) the Schouten identity.

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Then

Z. Bern, J. J. M. Carrasco and H. Johansson, Phys. Rev. D 78
Original
2008
Later among the works it cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, Phys. Rev. Lett. 103
Original
2009
Later among the works it cites.
S.-H. H. Tye and Y. Zhang, JHEP 1006
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2010
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