dc.contributor.author | García Pérez, Margarita | |
dc.contributor.author | González-Arroyo España, Antonio | |
dc.contributor.author | Keegan, Liam | |
dc.contributor.author | Okawa, Masanori | |
dc.contributor.other | UAM. Departamento de Física Teórica | es_ES |
dc.date.accessioned | 2016-11-29T13:20:47Z | |
dc.date.available | 2016-11-29T13:20:47Z | |
dc.date.issued | 2015-01-09 | |
dc.identifier.citation | Journal of High Energy Physics 2015.1 (2015): 038 | en_US |
dc.identifier.issn | 1029-8479 (online) | es_ES |
dc.identifier.issn | 1126-6708 (print) | es_ES |
dc.identifier.uri | http://hdl.handle.net/10486/675609 | |
dc.description | Journal of High Energy Physics 2015.1 (2015): 038 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA) | en_US |
dc.description.abstract | 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 coupling | en_US |
dc.description.sponsorship | We 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 26400249 | en_US |
dc.format.extent | 23 pag. | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Springer Verlag | en_US |
dc.publisher | SISSA | en_US |
dc.relation.ispartof | Journal of High Energy Physics | en_US |
dc.rights | © 2015, The Author(s) | en_US |
dc.subject.other | 1/N Expansion | en_US |
dc.subject.other | Lattice Gauge Field Theories | en_US |
dc.title | The SU(∞) twisted gradient flow running coupling | en_US |
dc.type | article | en |
dc.subject.eciencia | Física | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1007/JHEP01(2015)038 | es_ES |
dc.identifier.doi | 10.1007/JHEP01(2015)038 | es_ES |
dc.identifier.publicationfirstpage | 038 | es_ES |
dc.identifier.publicationissue | 1 | es_ES |
dc.identifier.publicationlastpage | 038 | es_ES |
dc.identifier.publicationvolume | 2015 | es_ES |
dc.relation.projectID | Gobierno de España. FPA2009-09017 | es_ES |
dc.relation.projectID | Gobierno de España. FPA2012-31686 | es_ES |
dc.relation.projectID | Gobierno de España. FPA2012-31880 | es_ES |
dc.relation.projectID | Comunidad de Madrid. S2009/ESP-1473/HEPHACOS | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/FP7/238353 | es_ES |
dc.relation.projectID | Gobierno de España. FPA2009-08785 | es_ES |
dc.relation.projectID | Gobierno de España. SEV-2012-0249 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | en |
dc.rights.cc | Reconocimiento | es_ES |
dc.rights.accessRights | openAccess | en |
dc.authorUAM | González-Arroyo España, Antonio (259863) | |
dc.facultadUAM | Facultad de Ciencias | |
dc.institutoUAM | Instituto de Física Teórica (IFT) | |