Fermions and scalars in N=4 Wilson loops at strong coupling and beyond

We study the null polygonal Wilson loops/gluon scattering amplitudes in planar N=4 SYM by means of the pentagon Operator Product Expansion (OPE) series and its integrability features, with particular attention on the strong coupling expansion. Actually, at all couplings and for the hexagon we disent...

Full description

Bibliographic Details
Main Authors: Alfredo Bonini, Davide Fioravanti, Simone Piscaglia, Marco Rossi
Format: Article
Language:English
Published: Elsevier 2019-07-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319301300
id doaj-525bc4e925ad44a785d319ebd131bfb4
record_format Article
spelling doaj-525bc4e925ad44a785d319ebd131bfb42020-11-24T21:44:31ZengElsevierNuclear Physics B0550-32132019-07-01944Fermions and scalars in N=4 Wilson loops at strong coupling and beyondAlfredo 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, Italy; Corresponding author.Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, JapanDipartimento di Fisica dell'Università della Calabria and INFN, Gruppo collegato di Cosenza, Arcavacata di Rende, Cosenza, ItalyWe study the null polygonal Wilson loops/gluon scattering amplitudes in planar N=4 SYM by means of the pentagon Operator Product Expansion (OPE) series and its integrability features, with particular attention on the strong coupling expansion. Actually, at all couplings and for the hexagon we disentangle the SU(4) matrix structure of the squared form factors for fermions, organising them in Young diagrams similar to those previously used for scalars. Then, we concentrate on the strong coupling regime and show the appearance of a new (effective) particle in the series: the fermion-antifermion bound state, the so-called ‘meson’. Of course, we identify its interaction with itself in the OPE series, with formation of (effective) bound states, and with the gluons and bound states of them. All together these extract from the OPE series the AdS5 minimal area result for the Wilson loop, described by a set of Thermodynamic Bethe Ansatz (TBA)-like equations, and highlight also all the one-loop contributions. Moreover, the same strategy applies to N=2 Nekrasov partition function via the parallel meson/instanton. Eventually, to complete the strong coupling analysis, we consider the scalar sector for any polygon, confirming the emergence of a non-perturbative contribution from the string in S5, which eludes and corrects the minimal area argument.http://www.sciencedirect.com/science/article/pii/S0550321319301300
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
Fermions and scalars in N=4 Wilson loops at strong coupling and beyond
Nuclear Physics B
author_facet Alfredo Bonini
Davide Fioravanti
Simone Piscaglia
Marco Rossi
author_sort Alfredo Bonini
title Fermions and scalars in N=4 Wilson loops at strong coupling and beyond
title_short Fermions and scalars in N=4 Wilson loops at strong coupling and beyond
title_full Fermions and scalars in N=4 Wilson loops at strong coupling and beyond
title_fullStr Fermions and scalars in N=4 Wilson loops at strong coupling and beyond
title_full_unstemmed Fermions and scalars in N=4 Wilson loops at strong coupling and beyond
title_sort fermions and scalars in n=4 wilson loops at strong coupling and beyond
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2019-07-01
description We study the null polygonal Wilson loops/gluon scattering amplitudes in planar N=4 SYM by means of the pentagon Operator Product Expansion (OPE) series and its integrability features, with particular attention on the strong coupling expansion. Actually, at all couplings and for the hexagon we disentangle the SU(4) matrix structure of the squared form factors for fermions, organising them in Young diagrams similar to those previously used for scalars. Then, we concentrate on the strong coupling regime and show the appearance of a new (effective) particle in the series: the fermion-antifermion bound state, the so-called ‘meson’. Of course, we identify its interaction with itself in the OPE series, with formation of (effective) bound states, and with the gluons and bound states of them. All together these extract from the OPE series the AdS5 minimal area result for the Wilson loop, described by a set of Thermodynamic Bethe Ansatz (TBA)-like equations, and highlight also all the one-loop contributions. Moreover, the same strategy applies to N=2 Nekrasov partition function via the parallel meson/instanton. Eventually, to complete the strong coupling analysis, we consider the scalar sector for any polygon, confirming the emergence of a non-perturbative contribution from the string in S5, which eludes and corrects the minimal area argument.
url http://www.sciencedirect.com/science/article/pii/S0550321319301300
work_keys_str_mv AT alfredobonini fermionsandscalarsinn4wilsonloopsatstrongcouplingandbeyond
AT davidefioravanti fermionsandscalarsinn4wilsonloopsatstrongcouplingandbeyond
AT simonepiscaglia fermionsandscalarsinn4wilsonloopsatstrongcouplingandbeyond
AT marcorossi fermionsandscalarsinn4wilsonloopsatstrongcouplingandbeyond
_version_ 1725909736524611584