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Potentials on the conformally compactified Minkowski spacetime and their application to quark deconfinement

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dc.contributor.authorKirchbach, Mariana
dc.contributor.authorVallejo Rodríguez, José Antonio
dc.contributor.orcidhttps://orcid.org/0000-0002-4264-3296
dc.date.accessioned2024-12-20T12:29:43Z
dc.date.available2024-12-20T12:29:43Z
dc.date.issued2024-05-15
dc.descriptionThis is a Submitted Manuscript of an article published by World Scientific in "International Journal of Geometric Methods in Modern Physics VOL. 21, NO. 11, 2024", available at: https://doi.org/10.1142/S0219887824501913 Este es el manuscrito enviado del artículo publicado por World Scientific en "International Journal of Geometric Methods in Modern Physics VOL. 21, NO. 11, 2024", disponible en línea: https://doi.org/10.1142/S0219887824501913
dc.description.abstractWe study a class of conformal metric deformations in the quasi-radial coordinate parameterizing the 3-sphere in the conformally compactified Minkowski spacetime S1 ×S3. Prior to reduction of the associated Laplace-Beltrami operators to a Schr¨odinger form, a corresponding class of exactly solvable potentials (each one containing a scalar and a gradient term) is found. In particular, the scalar piece of these potentials can be exactly or quasi-exactly solvable, and among them we find the finite range confining trigonometric potentials of P¨oschl-Teller, Scarf and Rosen-Morse. As an application of the results developed in the paper, the large compactification radius limit of the interaction described by some of these potentials is studied, and this regime is shown to be relevant to a quantum mechanical quark deconfinement mechanism.en
dc.description.versionversión original
dc.identifier.citationKirchbach, Mariana; Vallejo Rodríguez, José Antonio; Potentials on the conformally compactified Minkowski spacetime and their application to quark deconfinement, International Journal of Geometric Methods in Modern Physics Vol. 21, Issue No. 11, Article No. 2450191, 2024. https://doi.org/10.1142/S0219887824501913
dc.identifier.doihttps://doi.org/10.1142/S0219887824501913
dc.identifier.issn1793-6977
dc.identifier.urihttps://hdl.handle.net/20.500.14468/25021
dc.journal.issue11
dc.journal.titleInternational Journal of Geometric Methods in Modern Physics
dc.journal.volume21
dc.language.isoen
dc.publisherWorld Scientific
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-nc-nd/4.0/deed.es
dc.subject12 Matemáticas::1204 Geometría
dc.subject.keywordsConformal symmetryen
dc.subject.keywordsexactly and quasi-exactly solvable potentialsen
dc.subject.keywordsquark confinementen
dc.titlePotentials on the conformally compactified Minkowski spacetime and their application to quark deconfinementen
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dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication5714ca3f-46ee-446a-955c-c7bb72123266
relation.isAuthorOfPublication.latestForDiscovery5714ca3f-46ee-446a-955c-c7bb72123266
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