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...
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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 |
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