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Color confinement at the boundary of the conformally compactified AdS5

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dc.contributor.authorKirchbach, Mariana
dc.contributor.authorPopov, Todor
dc.contributor.authorVallejo Rodríguez, José Antonio
dc.date.accessioned2024-12-20T13:51:15Z
dc.date.available2024-12-20T13:51:15Z
dc.date.issued2021-09-27
dc.descriptionThis is a Submitted Manuscript of an article published by Springer Nature in "Journal of High Energy Physics, Volume 2021, article number 171, (2021) ", available at: https://doi.org/10.1007/JHEP09(2021)171 Este es el manuscrito enviado del artículo publicado por Springer Nature en "Journal of High Energy Physics, Volume 2021, article number 171, (2021) ", disponible en línea: https://doi.org/10.1007/JHEP09(2021)171
dc.description.abstractThe topology of closed manifolds forces interacting charges to appear in pairs. We take advantage of this property in the setting of the conformal boundary of AdS5 spacetime, topologically equivalent to the closed manifold S1 × S3, by considering the coupling of two massless opposite charges on it. Taking the interaction potential as the analog of Coulomb interaction (derived from a fundamental solution of the S3 Laplace-Beltrami operator), a conformal S1 × S3 metric deformation is proposed, such that free motion on the deformed metric is equivalent to motion on the round metric in the presence of the interaction potential. We give explicit expressions for the generators of the conformal algebra in the representation induced by the metric deformation. By identifying the charge as the color degree of freedom in QCD, and the two charges system as a quark-anti-quark system, we argue that the associated conformal wave operator equation could provide a realistic quantum mechanical description of the simplest QCD system, the mesons. Finally, we discuss the possibility of employing the compactification radius, R, as another scale along ΛQCD, by means of which, upon reparametrizing Q2c2 as (Q2c2+ħ2c2/R2), a perturbative treatment of processes in the infrared could be approached.en
dc.description.versionversión original
dc.identifier.citationKirchbach, M., Popov, T. & Vallejo, J.A. Color confinement at the boundary of the conformally compactified AdS5. J. High Energ. Phys. 2021, 171 (2021). https://doi.org/10.1007/JHEP09(2021)171
dc.identifier.doihttps://doi.org/10.1007/JHEP09(2021)171
dc.identifier.issn1029-8479
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25025
dc.journal.issue171
dc.journal.titleJournal of High Energy Physics
dc.journal.volume2021
dc.language.isoen
dc.publisherSpringer Nature
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.es
dc.subject12 Matemáticas::1204 Geometría
dc.subject.keywordsConformal and W Symmetryen
dc.subject.keywordsDifferential and Algebraic Geometryen
dc.titleColor confinement at the boundary of the conformally compactified AdS5en
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication5714ca3f-46ee-446a-955c-c7bb72123266
relation.isAuthorOfPublication.latestForDiscovery5714ca3f-46ee-446a-955c-c7bb72123266
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