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Dirac fields in flat FLRW cosmology: Uniqueness of the Fock quantization

dc.contributor.authorCortez, Jerónimo
dc.contributor.authorElizaga Navascués, Beatriz
dc.contributor.authorMartín-Benito, Mercedes
dc.contributor.authorMena Marugan, Guillermo A.
dc.contributor.authorVelhinho, José
dc.date.accessioned2019-10-29T10:10:05Z
dc.date.available2019-10-29T10:10:05Z
dc.date.issued2017-01
dc.description.abstractWe address the issue of the infinite ambiguity that affects the construction of a Fock quantization of a Dirac field propagating in a cosmological spacetime with flat compact sections. In particular, we discuss a physical criterion that restricts to a unique possibility (up to unitary equivalence) the infinite set of available vacua. We prove that this desired uniqueness is guaranteed, for any possible choice of spin structure on the spatial sections, if we impose two conditions. The first one is that the symmetries of the classical system must be implemented quantum mechanically, so that the vacuum is invariant under the symmetry transformations. The second and more important condition is that the constructed theory must have a quantum dynamics that is implementable as a (non-trivial) unitary operator in Fock space. Actually, this unitarity of the quantum dynamics leads us to identify as explicitly time dependent some very specific contributions of the Dirac field. In doing that, we essentially characterize the part of the dynamics governed by the Dirac equation that is unitarily implementable. The uniqueness of the Fock vacuum is attained then once a physically motivated convention for the concepts of particles and antiparticles is fixed.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.aop.2016.11.005pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/7430
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectQuantum field theory in curved spacetimespt_PT
dc.subjectFock quantizatiopt_PT
dc.subjectUniqueness criteriapt_PT
dc.subjectUnitarity in cosmological backgroundspt_PT
dc.titleDirac fields in flat FLRW cosmology: Uniqueness of the Fock quantizationpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage88pt_PT
oaire.citation.startPage76pt_PT
oaire.citation.volume376pt_PT
person.familyNameCortez
person.familyNameElizaga Navascués
person.familyNameMena Marugan
person.familyNameVelhinho
person.givenNameJerónimo
person.givenNameBeatriz
person.givenNameGuillermo A.
person.givenNameJose
person.identifier427527
person.identifier.orcid0000-0002-9705-6769
person.identifier.orcid0000-0002-6242-7814
person.identifier.orcid0000-0003-3378-9610
person.identifier.orcid0000-0002-3219-903X
person.identifier.ridM-1817-2014
person.identifier.ridK-8767-2015
person.identifier.scopus-author-id10640395600
person.identifier.scopus-author-id6602972878
rcaap.embargofctCopyright cedido à editora no momento da publicaçãopt_PT
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication9986a302-270e-40ee-b28b-1b0b51838f81
relation.isAuthorOfPublication0c844582-922c-4a3a-a362-40c6f18dbd4b
relation.isAuthorOfPublication982ae492-2ad4-43e4-90a4-4556982b694e
relation.isAuthorOfPublicationeda27e8f-2f77-4e79-a7ab-01cdf3a6af38
relation.isAuthorOfPublication.latestForDiscovery9986a302-270e-40ee-b28b-1b0b51838f81

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