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String chopping and time-ordered products of linear string-localized quantum fields

dc.creatorCardoso, Lucas T.
dc.creatorMund, Jens
dc.creatorVárilly Boyle, Joseph C.
dc.date.accessioned2020-10-30T16:25:12Z
dc.date.available2020-10-30T16:25:12Z
dc.date.issued2018-03
dc.description.abstractFor a renormalizability proof of perturbative models in the Epstein-Glaser scheme with string-localized quantum fields, one needs to know what freedom one has in the definition of time-ordered products of the interaction Lagrangian. This paper provides a first step in that direction. The basic issue is the presence of an open set of n-tuples of strings which cannot be chronologically ordered. We resolve it by showing that almost all such string configurations can be dissected into finitely many pieces which can indeed be chronologically ordered. This fixes the time-ordered products of linear field factors outside a nullset of string configurations.es
dc.description.procedenceUCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemáticaes
dc.description.procedenceUCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemática y Meta-Matemática (CIMM)es
dc.description.sponsorshipThe European Union's Horizon~2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 690575es
dc.description.sponsorshipThe "Research in Pairs" program of the Mathematisches Forschungsinstitut Oberwolfaches
dc.identifier.citationhttps://link.springer.com/article/10.1007%2Fs11040-017-9258-9
dc.identifier.codproyecto820-B8225
dc.identifier.codproyectoUniversidad de Costa Rica/[820-B8225]/UCR/Costa Rica
dc.identifier.doihttps://doi.org/10.1007/s11040-017-9258-9
dc.identifier.issn1572-9656
dc.identifier.urihttps://hdl.handle.net/10669/81785
dc.language.isoen_US
dc.rightsacceso embargado
dc.sourceMathematics, Physics, Analysis and Geometry 21:3 (2018)es
dc.subjectRelativistic quantum field theoryes
dc.subjectLocalityes
dc.subjectEpstein-Glaser perturbative constructiones
dc.subjectTime-ordered productses
dc.titleString chopping and time-ordered products of linear string-localized quantum fieldses
dc.typeartículo original

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