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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Bibliographic Details
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
Description
Summary: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).
ISSN:0550-3213
1873-1562