Tree-level gluon amplitudes on the celestial sphere

Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary n-point tree-level gluon amplitudes. The Mellin transforms of MHV amplitudes are...

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Veröffentlicht in:Physics letters. B 2018-06, Vol.781, p.349-357
Hauptverfasser: Schreiber, Anders Ø., Volovich, Anastasia, Zlotnikov, Michael
Format: Artikel
Sprache:eng
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Zusammenfassung:Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary n-point tree-level gluon amplitudes. The Mellin transforms of MHV amplitudes are given by generalized hypergeometric functions on the Grassmannian Gr(4,n), while generic non-MHV amplitudes are given by more complicated Gelfand A-hypergeometric functions.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2018.04.010