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Mapping between the Heisenberg XX Spin Chain and Low-Energy QCD

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dc.contributor.authorPérez García, David
dc.contributor.authorTierz, Miguel
dc.date.accessioned2023-06-19T13:25:03Z
dc.date.available2023-06-19T13:25:03Z
dc.date.issued2014-06
dc.description.abstractBy using random matrix models, we uncover a connection between the low-energy sector of four-dimensional QCD at finite volume and the Heisenberg XX model in a 1D spin chain. This connection allows us to relate crucial properties of QCD with physically meaningful properties of the spin chain, establishing a dictionary between both worlds. For the spin chain, we predict a third-order phase transition and a Tracy-Widom law in the transition region. We also comment on possible numerical implications of the connection as well as on possible experimental implementations.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipComunidad de Madrid
dc.description.sponsorshipSpanish Grants
dc.description.sponsorshipEuropean CHIST-ERA
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/26441
dc.identifier.doi10.1103/PhysRevX.4.021050
dc.identifier.issn2160-3308
dc.identifier.officialurlhttp://journals.aps.org/prx/pdf/10.1103/PhysRevX.4.021050
dc.identifier.relatedurlhttp://www.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33615
dc.issue.number2
dc.journal.titlePhysical Review X
dc.language.isoeng
dc.publisherAPS
dc.relation.projectIDQUITEMAD-CM (S2009/ESP-1594)
dc.relation.projectID(MTM2011-26912)
dc.relation.projectID(CQC)
dc.rightsAtribución-NoComercial 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by-nc/3.0/es/
dc.subject.cdu517
dc.subject.keywordLattice gauge-theories
dc.subject.keywordAtomic Mott insulator
dc.subject.keywordOptical lattices
dc.subject.keywordPhase-transition
dc.subject.keywordDirac operator
dc.subject.keywordRandom-walks
dc.subject.keywordExpansions
dc.subject.keywordSpectrum
dc.subject.keywordSystems
dc.subject.keywordPhysics
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleMapping between the Heisenberg XX Spin Chain and Low-Energy QCD
dc.typejournal article
dc.volume.number4
dspace.entity.typePublication
relation.isAuthorOfPublication5edb2da8-669b-42d1-867d-8fe3144eb216
relation.isAuthorOfPublication.latestForDiscovery5edb2da8-669b-42d1-867d-8fe3144eb216

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