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2016

Locality and Unitarity from Singularities and Gauge Invariance

Arkani-Hamed, Nima, Rodina, Laurentiu, Trnka, Jaroslav

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We conjecture that the leading two-derivative tree-level amplitudes for gluons and gravitons can be derived from gauge invariance together with mild assumptions on their singularity structure.

Assuming locality (that the singularities are associated with the poles of cubic graphs), we prove that gauge-invariance in just (n-1) particles together with minimal power-counting uniquely fixes the amplitude.
Unitarity in the form of factorization then follows from locality and gauge invariance.
We also give evidence for a stronger conjecture: assuming only that singularities occur when the sum of a subset of external momenta go on-shell, we show in non-trivial examples that gauge-invariance and power-counting demand a graph structure for singularities.

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Similar

Z. Bern, J. J. M. Carrasco and H. Johansson, Phys. Rev. D 78
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N. Arkani-Hamed and J. Kaplan, JHEP 0804
2008
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K. Kampf, J. Novotny and J. Trnka, JHEP 1305
2013
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N. Arkani-Hamed and J. Trnka, JHEP 1410
2014
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J. Broedel, M. de Leeuw, J. Plefka and M. Rosso, Phys. Rev. D 90
2014
Cited alongside, same era.
C. Cheung, K. Kampf, J. Novotny, C. H. Shen and J. Trnka, arXiv:1611.03137 [hep-th]
Original
Cited in the paper.
L. Rodina, in preparation
Cited in the paper.
R. H. Boels and R. Medina, arXiv:1607.08246 [hep-th]
Original
Cited in the paper.
P. Benincasa and F. Cachazo, arXiv:0705.4305 [hep-th]
Original
Cited in the paper.

Then

D. A. McGady and L. Rodina, Phys. Rev. D 90
2014
Later among the works it cites.
F. Cachazo, S. He and E. Y. Yuan, Phys. Rev. Lett. 113
2014
Later among the works it cites.
C. Cheung, K. Kampf, J. Novotny and J. Trnka, Phys. Rev. Lett. 114
2015
Later among the works it cites.
F. Cachazo, S. He and E. Y. Yuan, JHEP 1507
2015
Later among the works it cites.
C. Cheung, K. Kampf, J. Novotny, C. H. Shen and J. Trnka, Phys. Rev. Lett. 116
2016
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