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Physics with non-unital algebras? an invitation to the okubo algebra

2025-02-14Artigo científico Acesso aberto
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datacite.subject.sdg09:Indústria, Inovação e Infraestruturas
datacite.subject.sdg04:Educação de Qualidade
datacite.subject.sdg17:Parcerias para a Implementação dos Objetivos
dc.contributor.authorMarrani, Alessio
dc.contributor.authorCorradetti, Daniele
dc.contributor.authorZucconi, Francesco
dc.date.accessioned2026-04-30T12:36:00Z
dc.date.available2026-04-30T12:36:00Z
dc.date.issued2025-02-14
dc.description.abstractThis paper presents some preliminary discussion on the possible relevance of the Okubonions, i.e. the real Okubo algebra O, in quantum chromodynamics (QCD). The Okubo algebra lacks a unit element and sits in the adjoint representation of its automorphism group SUO, thus being fundamentally different from the better-known octonions O. While these latter may represent quarks (and color singlets), the Okubonions are conjectured to represent the gluons, i.e. the gauge bosons of the QCD SU(3) color symmetry. However, it is shown that the SU(3) groups pertaining to Okubonions and octonions are distinct and inequivalent subgroups of Spin(8) that share no common SU(2) subgroup. The unusual properties of Okubonions may be related to peculiar QCD phenomena like asymptotic freedom and color confinement, though the actual mechanisms remain to be investigated.eng
dc.identifier.doi10.1088/1751-8121/adafef
dc.identifier.eissn1751-8113
dc.identifier.issn1751-8121
dc.identifier.urihttp://hdl.handle.net/10400.1/28827
dc.language.isoeng
dc.peerreviewedyes
dc.publisherIOP Publishing
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectNon-associative algebras
dc.subjectOkubo algebra
dc.subjectQuantum chromodynamics
dc.subjectRepresentation theory
dc.subjectOctonions
dc.subjectGauge theory
dc.titlePhysics with non-unital algebras? an invitation to the okubo algebraeng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue7
oaire.citation.startPage075202
oaire.citation.titleJournal of Physics A: Mathematical and Theoretical
oaire.citation.volume58
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameCorradetti
person.givenNameDaniele
person.identifier.orcid0000-0001-8086-0593
relation.isAuthorOfPublicationeb033bd7-b864-44d6-8c79-e64b25bb2b6e
relation.isAuthorOfPublication.latestForDiscoveryeb033bd7-b864-44d6-8c79-e64b25bb2b6e

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