The SU(∞) twisted gradient flow running coupling

Journal of High Energy Physics 2015.1 (2015): 038 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Detalles Bibliográficos
Autores: García Pérez, Margarita, González-Arroyo España, Antonio, Keegan, Liam, Okawa, Masanori
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/675609
Acceso en línea:http://hdl.handle.net/10486/675609
https://dx.doi.org/10.1007/JHEP01(2015)038
Access Level:acceso abierto
Palabra clave:1/N Expansion
Lattice Gauge Field Theories
Física
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spelling The SU(∞) twisted gradient flow running couplingGarcía Pérez, MargaritaGonzález-Arroyo España, AntonioKeegan, LiamOkawa, Masanori1/N ExpansionLattice Gauge Field TheoriesFísicaJournal of High Energy Physics 2015.1 (2015): 038 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)We measure the running of the SU(∞) ’t Hooft coupling by performing a step scaling analysis of the Twisted Eguchi-Kawai (TEK) model, the SU(N) gauge theory on a single site lattice with twisted boundary conditions. The computation relies on the conjecture that finite volume effects for SU(N) gauge theories defined on a 4-dimensional twisted torus are controlled by an effective size parameter ˜l = l√ N, with l the torus period. We set the scale for the running coupling in terms of ˜l and use the gradient flow to define a renormalized ’t Hooft coupling λ(˜l). In the TEK model, this idea allows the determination of the running of the coupling through a step scaling procedure that uses the rank of the group as a size parameter. The continuum renormalized coupling constant is extracted in the zero lattice spacing limit, which in the TEK model corresponds to the large N limit taken at fixed value of λ(˜l). The coupling constant is thus expected to coincide with that of the ordinary pure gauge theory at N = ∞. The idea is shown to work and permits us to follow the evolution of the coupling over a wide range of scales. At weak coupling we find a remarkable agreement with the perturbative two-loop formula for the running couplingWe acknowledge financial support from the MCINN grants FPA2009-08785, FPA2009-09017, FPA2012-31686 and FPA2012-31880, the Comunidad Autónoma de Madrid under the program HEPHACOS S2009/ESP-1473, the European Union under Grant Agreement PITN-GA-2009-238353 (ITN STRONGnet), and the Spanish MINECO’s “Centro de Excelencia Severo Ochoa” Programme under grant SEV-2012-0249. M. O. is supported by the Japanese MEXT grant No 26400249Springer VerlagSISSADepartamento de Física TeóricaFacultad de Ciencias20152015-01-09research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/675609https://dx.doi.org/10.1007/JHEP01(2015)038reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/6756092026-06-23T12:46:27Z
dc.title.none.fl_str_mv The SU(∞) twisted gradient flow running coupling
title The SU(∞) twisted gradient flow running coupling
spellingShingle The SU(∞) twisted gradient flow running coupling
García Pérez, Margarita
1/N Expansion
Lattice Gauge Field Theories
Física
title_short The SU(∞) twisted gradient flow running coupling
title_full The SU(∞) twisted gradient flow running coupling
title_fullStr The SU(∞) twisted gradient flow running coupling
title_full_unstemmed The SU(∞) twisted gradient flow running coupling
title_sort The SU(∞) twisted gradient flow running coupling
dc.creator.none.fl_str_mv García Pérez, Margarita
González-Arroyo España, Antonio
Keegan, Liam
Okawa, Masanori
author García Pérez, Margarita
author_facet García Pérez, Margarita
González-Arroyo España, Antonio
Keegan, Liam
Okawa, Masanori
author_role author
author2 González-Arroyo España, Antonio
Keegan, Liam
Okawa, Masanori
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Física Teórica
Facultad de Ciencias
dc.subject.none.fl_str_mv 1/N Expansion
Lattice Gauge Field Theories
Física
topic 1/N Expansion
Lattice Gauge Field Theories
Física
description Journal of High Energy Physics 2015.1 (2015): 038 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-09
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/675609
https://dx.doi.org/10.1007/JHEP01(2015)038
url http://hdl.handle.net/10486/675609
https://dx.doi.org/10.1007/JHEP01(2015)038
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 Springer Verlag
SISSA
publisher.none.fl_str_mv Springer Verlag
SISSA
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301629

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