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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Main Authors:	Anders Ø. Schreiber, Anastasia Volovich, Michael Zlotnikov
Format:	Article
Language:	English
Published:	Elsevier 2018-06-01
Series:	Physics Letters B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269318302946

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spelling	doaj-7f35329b97914f19a544ef97002248602020-11-24T22:01:09ZengElsevierPhysics Letters B0370-26932018-06-01781349357Tree-level gluon amplitudes on the celestial sphereAnders Ø. Schreiber0Anastasia Volovich1Michael Zlotnikov2Department of Physics, Brown University, Providence, RI 02912, United States of AmericaDepartment of Physics, Brown University, Providence, RI 02912, United States of America; School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, United States of America; Corresponding author.Department of Physics, Brown University, Providence, RI 02912, United States of AmericaPasterski, 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.http://www.sciencedirect.com/science/article/pii/S0370269318302946
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Anders Ø. Schreiber Anastasia Volovich Michael Zlotnikov
spellingShingle	Anders Ø. Schreiber Anastasia Volovich Michael Zlotnikov Tree-level gluon amplitudes on the celestial sphere Physics Letters B
author_facet	Anders Ø. Schreiber Anastasia Volovich Michael Zlotnikov
author_sort	Anders Ø. Schreiber
title	Tree-level gluon amplitudes on the celestial sphere
title_short	Tree-level gluon amplitudes on the celestial sphere
title_full	Tree-level gluon amplitudes on the celestial sphere
title_fullStr	Tree-level gluon amplitudes on the celestial sphere
title_full_unstemmed	Tree-level gluon amplitudes on the celestial sphere
title_sort	tree-level gluon amplitudes on the celestial sphere
publisher	Elsevier
series	Physics Letters B
issn	0370-2693
publishDate	2018-06-01
description	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.
url	http://www.sciencedirect.com/science/article/pii/S0370269318302946
work_keys_str_mv	AT andersøschreiber treelevelgluonamplitudesonthecelestialsphere AT anastasiavolovich treelevelgluonamplitudesonthecelestialsphere AT michaelzlotnikov treelevelgluonamplitudesonthecelestialsphere
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Tree-level gluon amplitudes on the celestial sphere

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