The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes

By means of a kinematic analysis of tree level graviton amplitudes we find, at least through six points, that the reason of their decomposition as a sum over products of gauge boson amplitudes is on-shell gauge invariance and unitarity. As a by-product of our analysis we find nonlinear relations obe...

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Main Authors: Luiz Antonio Barreiro, Ricardo Medina
Format: Article
Language:English
Published: Elsevier 2020-04-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320301039
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spelling doaj-5bfb42a2332f4436a0d72545007eff042020-11-25T02:09:23ZengElsevierPhysics Letters B0370-26932020-04-01803The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudesLuiz Antonio Barreiro0Ricardo Medina1São Paulo State University (UNESP), Institute of Geosciences and Exact Sciences, Rio Claro, BrazilInstituto de Matemática e Computação, Universidade Federal de Itajubá, 37500-903 Itajubá, Brazil; Corresponding author.By means of a kinematic analysis of tree level graviton amplitudes we find, at least through six points, that the reason of their decomposition as a sum over products of gauge boson amplitudes is on-shell gauge invariance and unitarity. As a by-product of our analysis we find nonlinear relations obeyed by Yang-Mills amplitudes. All our results are valid for arbitrary spacetime dimensions. Keywords: Graviton amplitudes, Gluon amplitudes, KLT relationshttp://www.sciencedirect.com/science/article/pii/S0370269320301039
collection DOAJ
language English
format Article
sources DOAJ
author Luiz Antonio Barreiro
Ricardo Medina
spellingShingle Luiz Antonio Barreiro
Ricardo Medina
The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
Physics Letters B
author_facet Luiz Antonio Barreiro
Ricardo Medina
author_sort Luiz Antonio Barreiro
title The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
title_short The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
title_full The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
title_fullStr The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
title_full_unstemmed The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
title_sort origin of the klt relations and nonlinear relations for yang-mills amplitudes
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2020-04-01
description By means of a kinematic analysis of tree level graviton amplitudes we find, at least through six points, that the reason of their decomposition as a sum over products of gauge boson amplitudes is on-shell gauge invariance and unitarity. As a by-product of our analysis we find nonlinear relations obeyed by Yang-Mills amplitudes. All our results are valid for arbitrary spacetime dimensions. Keywords: Graviton amplitudes, Gluon amplitudes, KLT relations
url http://www.sciencedirect.com/science/article/pii/S0370269320301039
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