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Nonlinear vacuum electrodynamics and spontaneous breaking of Lorentz symmetry

2020-09Journal article Restricted access
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dc.contributor.authorEscobar, C. A.
dc.contributor.authorPotting, Robertus
dc.date.accessioned2021-06-24T11:35:14Z
dc.date.available2021-06-24T11:35:14Z
dc.date.issued2020-09
dc.description.abstractWe study spontaneous breaking of Lorentz symmetry in nonlinear vacuum electrodynamics. Using a first-order formulation of the latter proposed by Plebanski, we apply a Dirac constraint analysis and derive an effective Hamiltonian. We show that there exists a large class of potentials for which the effective Hamiltonian is bounded from below, while at the same time possessing local minima in which the field strength acquires a nonzero vacuum expectation value, thereby breaking Lorentz invariance spontaneously. These possible vacua can be classified in four classes, depending on the way Lorentz symmetry is broken. We show that the small field fluctuations around these vacua involve modes for which the dynamics can develop degeneracies, resulting in shock-wave-like and/or superluminal motion. Finally, we study the physical applicability of these models, and show how the Lorentz breaking vacua might in principle be detected by coupling the model to a suitable external current, or to gravity.
dc.description.sponsorshipFundacao para a Ciencia e a Tecnologia of PortugalPortuguese Foundation for Science and Technology [SFRH/BSAB/150324/2019, UID/FIS/00099/2019]
dc.description.sponsorshipUNAM-DGAPA postdoctoral fellowship
dc.description.sponsorshipproject PAPIITPrograma de Apoyo a Proyectos de Investigacion e Innovacion Tecnologica (PAPIIT) [IN111518]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1142/S0217751X20501742
dc.identifier.issn0217-751X
dc.identifier.urihttp://hdl.handle.net/10400.1/16381
dc.language.isoeng
dc.peerreviewedyes
dc.publisherWorld Scientific Publ. Co.
dc.relationSimetrias do espaço-tempo
dc.relationMultidisciplinary Center for Astrophysics
dc.subjectSpontaneous Lorentz symmetry breaking
dc.subjectNonlinear electrodynamics
dc.subjectPlebanski models
dc.subject.otherPhysics
dc.titleNonlinear vacuum electrodynamics and spontaneous breaking of Lorentz symmetry
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleSimetrias do espaço-tempo
oaire.awardTitleMultidisciplinary Center for Astrophysics
oaire.awardURIinfo:eu-repo/grantAgreement/FCT//SFRH%2FBSAB%2F150324%2F2019/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FFIS%2F00099%2F2019/PT
oaire.citation.issue27
oaire.citation.startPage2050174
oaire.citation.titleInternational Journal of Modern Physics A
oaire.citation.volume35
oaire.fundingStream6817 - DCRRNI ID
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.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccess
rcaap.typearticle
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relation.isAuthorOfPublication.latestForDiscovery5f3f0587-c12d-4e9b-a066-dc828e087ff9
relation.isProjectOfPublication69164807-043c-4475-afdf-0e3003b303c3
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