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Covariant quantization of CPT-violating photons

dc.contributor.authorColladay, D.
dc.contributor.authorMcDonald, P.
dc.contributor.authorNoordmans, J. P.
dc.contributor.authorPotting, Robertus
dc.date.accessioned2019-11-20T15:07:52Z
dc.date.available2019-11-20T15:07:52Z
dc.date.issued2017-01
dc.description.abstractWe perform the covariant canonical quantization of the CPT - and Lorentz-symmetry-violating photon sector of the minimal Standard-Model Extension, which contains a general (timelike, lightlike, or spacelike) fixed background tensor k(AF)(u). Well-known stability issues, arising from complex-valued energy states, are solved by introducing a small photon mass, orders of magnitude below current experimental bounds. We explicitly construct a covariant basis of polarization vectors, in which the photon field can be expanded. We proceed to derive the Feynman propagator and show that the theory is microcausal. Despite the occurrence of negative energies and vacuum-Cherenkov radiation, we do not find any runaway stability issues, because the energy remains bounded from below. An important observation is that the ordering of the roots of the dispersion relations is the same in any observer frame, which allows for a frame-independent condition that selects the correct branch of the dispersion relation. This turns out to be critical for the consistency of the quantization. To our knowledge, this is the first system for which quantization has consistently been performed, in spite of the fact that the theory contains negative energies in some observer frames.
dc.description.sponsorshipFundacao para a Ciencia e a Tecnologia of Portugal (FCT) [UID/FIS/00099/2013, SFRH/BPD/101403/2014, POPH/FSE]
dc.identifier.doi10.1103/PhysRevD.95.025025
dc.identifier.issn2470-0010
dc.identifier.issn2470-0029
dc.identifier.urihttp://hdl.handle.net/10400.1/13256
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAmer Physical Soc
dc.subjectHiggs-kibble model
dc.subjectInduced lorentz
dc.subjectTcp theorem
dc.subjectElectrodynamics
dc.subjectRenormalization
dc.subjectPhysics
dc.subjectLimits
dc.subjectGauge
dc.subjectProof
dc.titleCovariant quantization of CPT-violating photons
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FFIS%2F00099%2F2013/PT
oaire.citation.issue2
oaire.citation.startPage25025
oaire.citation.titlePhysical Review D
oaire.citation.volume95
oaire.fundingStream5876
person.familyNamePotting
person.givenNameRobertus
person.identifier.ciencia-id2918-1063-F874
person.identifier.orcid0000-0001-6915-3994
person.identifier.ridK-8704-2015
person.identifier.scopus-author-id7003735743
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccess
rcaap.typearticle
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relation.isAuthorOfPublication.latestForDiscovery5f3f0587-c12d-4e9b-a066-dc828e087ff9
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