The Ising model and planar N=4 Yang-Mills

The scattering-matrix for planar Yang-Mills with N = 4 supersymmetry relies on the assumption that integrability holds to all orders in perturbation theory. In this note we define a map from the spectral variables x ±, parameterizing the long-range magnon momenta, to couplings in a two-dimensional I...

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Detalhes bibliográficos
Autores: Gómez, César, Gunnesson, Johan, Hernández Redondo, Rafael
Tipo de documento: artigo
Data de publicação:2008
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/52138
Acesso em linha:https://hdl.handle.net/20.500.14352/52138
Access Level:Acceso aberto
Palavra-chave:53
Física-Modelos matemáticos
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spelling The Ising model and planar N=4 Yang-MillsGómez, CésarGunnesson, JohanHernández Redondo, Rafael53Física-Modelos matemáticosThe scattering-matrix for planar Yang-Mills with N = 4 supersymmetry relies on the assumption that integrability holds to all orders in perturbation theory. In this note we define a map from the spectral variables x ±, parameterizing the long-range magnon momenta, to couplings in a two-dimensional Ising model. Under this map integrability of planar N = 4 Yang-Mills becomes equivalent to the Yang-Baxter equation for the twodimensional Ising model, and the long-range variables x ± translate into the entries of the Ising transfer matrices. We explore the Ising correlation length which equals the inverse magnon momentum in the small momentum limit. The critical regime is thus reached for vanishing magnon momentum. We also discuss the meaning of the Kramers-Wannier duality transformation on the gauge theory, together with that of the Ising model critical points.IOP Publishing LtdUniversidad Complutense de Madrid20082008-07-1120082008-07-11journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/52138reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/521382026-06-02T12:44:21Z
dc.title.none.fl_str_mv The Ising model and planar N=4 Yang-Mills
title The Ising model and planar N=4 Yang-Mills
spellingShingle The Ising model and planar N=4 Yang-Mills
Gómez, César
53
Física-Modelos matemáticos
title_short The Ising model and planar N=4 Yang-Mills
title_full The Ising model and planar N=4 Yang-Mills
title_fullStr The Ising model and planar N=4 Yang-Mills
title_full_unstemmed The Ising model and planar N=4 Yang-Mills
title_sort The Ising model and planar N=4 Yang-Mills
dc.creator.none.fl_str_mv Gómez, César
Gunnesson, Johan
Hernández Redondo, Rafael
author Gómez, César
author_facet Gómez, César
Gunnesson, Johan
Hernández Redondo, Rafael
author_role author
author2 Gunnesson, Johan
Hernández Redondo, Rafael
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Física-Modelos matemáticos
topic 53
Física-Modelos matemáticos
description The scattering-matrix for planar Yang-Mills with N = 4 supersymmetry relies on the assumption that integrability holds to all orders in perturbation theory. In this note we define a map from the spectral variables x ±, parameterizing the long-range magnon momenta, to couplings in a two-dimensional Ising model. Under this map integrability of planar N = 4 Yang-Mills becomes equivalent to the Yang-Baxter equation for the twodimensional Ising model, and the long-range variables x ± translate into the entries of the Ising transfer matrices. We explore the Ising correlation length which equals the inverse magnon momentum in the small momentum limit. The critical regime is thus reached for vanishing magnon momentum. We also discuss the meaning of the Kramers-Wannier duality transformation on the gauge theory, together with that of the Ising model critical points.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-07-11
2008
2008-07-11
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/52138
url https://hdl.handle.net/20.500.14352/52138
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing Ltd
publisher.none.fl_str_mv IOP Publishing Ltd
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,198674

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