The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling

The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling

We disentangle the contribution of scalars to the OPE series of null hexagonal Wilson loops/MHV gluon scattering amplitudes in multicolour N=4 SYM. In specific, we develop a systematic computation of the SU(4) matrix part of the Wilson loop by means of Young tableaux (with several examples). Then, w...

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Main Authors: Alfredo Bonini, Davide Fioravanti, Simone Piscaglia, Marco Rossi
Format: Article
Language:English
Published: Elsevier 2018-06-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318300920
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spelling doaj-2c29eb41054248989c00e0bf58c215a02020-11-25T00:11:56ZengElsevierNuclear Physics B0550-32131873-15622018-06-01931C197110.1016/j.nuclphysb.2018.04.001The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong couplingAlfredo Bonini0Davide Fioravanti1Simone Piscaglia2Marco Rossi3Sezione INFN di Bologna, Dipartimento di Fisica e Astronomia, Università di Bologna, Via Irnerio 46, 40126 Bologna, ItalySezione INFN di Bologna, Dipartimento di Fisica e Astronomia, Università di Bologna, Via Irnerio 46, 40126 Bologna, ItalyDepartment of Physics, Tokyo Institute of Technology, Tokyo 152-8551, JapanDipartimento di Fisica dell'Università della Calabria and INFN, Gruppo collegato di Cosenza, 87036 Arcavacata di Rende, Cosenza, ItalyWe disentangle the contribution of scalars to the OPE series of null hexagonal Wilson loops/MHV gluon scattering amplitudes in multicolour N=4 SYM. In specific, we develop a systematic computation of the SU(4) matrix part of the Wilson loop by means of Young tableaux (with several examples). Then, we use a peculiar factorisation property (when a group of rapidities becomes large) to deduce an explicit polar form. Furthermore, we emphasise the advantages of expanding the logarithm of the Wilson loop in terms of ‘connected functions’ as we apply this procedure to find an explicit strong coupling expansion (definitively proving that the leading order can prevail on the classical AdS5 string contribution).http://www.sciencedirect.com/science/article/pii/S0550321318300920
collection DOAJ
language English
format Article
sources DOAJ
author Alfredo Bonini
Davide Fioravanti
Simone Piscaglia
Marco Rossi
spellingShingle Alfredo Bonini
Davide Fioravanti
Simone Piscaglia
Marco Rossi
The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
Nuclear Physics B
author_facet Alfredo Bonini
Davide Fioravanti
Simone Piscaglia
Marco Rossi
author_sort Alfredo Bonini
title The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
title_short The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
title_full The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
title_fullStr The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
title_full_unstemmed The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
title_sort contribution of scalars to n=4 sym amplitudes ii: young tableaux, asymptotic factorisation and strong coupling
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2018-06-01
description We disentangle the contribution of scalars to the OPE series of null hexagonal Wilson loops/MHV gluon scattering amplitudes in multicolour N=4 SYM. In specific, we develop a systematic computation of the SU(4) matrix part of the Wilson loop by means of Young tableaux (with several examples). Then, we use a peculiar factorisation property (when a group of rapidities becomes large) to deduce an explicit polar form. Furthermore, we emphasise the advantages of expanding the logarithm of the Wilson loop in terms of ‘connected functions’ as we apply this procedure to find an explicit strong coupling expansion (definitively proving that the leading order can prevail on the classical AdS5 string contribution).
url http://www.sciencedirect.com/science/article/pii/S0550321318300920
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