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dc.contributor.authorRelancio Martínez, José Javier 
dc.contributor.authorSantamaría Sanz, Lucía 
dc.date.accessioned2025-01-23T07:33:48Z
dc.date.available2025-01-23T07:33:48Z
dc.date.issued2024-10
dc.identifier.issn2470-0010
dc.identifier.urihttp://hdl.handle.net/10259/10003
dc.description.abstractIn this work, we explore the quantum theories of the free massive scalar, the massive fermionic, and the electromagnetic fields in a doubly special relativity scenario. This construction is based on a geometrical interpretation of the kinematics of this kind of theory. In order to describe the modified actions, we find that a higher (indeed infinite) derivative field theory is needed, from which the deformed kinematics can be read. From our construction, we are able to restrict the possible models of doubly special relativity to those that preserve linear Lorentz invariance. We quantize the theories and also obtain a deformed version of the Maxwell equations. We analyze the electromagnetic vector potential for both an electric pointlike source and magnetic dipole. We observe that the electric and magnetic fields do not diverge at the origin for some models described with an anti–de Sitter momentum space, but they do for a de Sitter space in both problems.en
dc.description.sponsorshipThis research is supported by the Spanish Ministry of Science and Innovation MICIN, as well as by the Regional Government of Castilla y León (Junta de Castilla y León, Spain), with funding from European Union NextGenerationEU through the Quantum Communications in Castilla y León (QCAYLE) project (PRTRC17.I1). J. J. R. is funded by the Agencia Estatal de Investigación (Spain) through Grant No. PID2019– 106802GB-I00/AEI/10.13039/501100011033.es
dc.format.mimetypeapplication/pdf
dc.language.isoenges
dc.publisherAmerican Physical Societyes
dc.relation.ispartofPhysical Review D. 2024, V. 110, n. 8es
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subject.otherMatemáticases
dc.subject.otherMathematicsen
dc.subject.otherFísicaes
dc.subject.otherPhysicsen
dc.titleDoubly special relativity as a nonlocal quantum field theoryen
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.relation.publisherversionhttps://doi.org/10.1103/PhysRevD.110.086004es
dc.identifier.doi10.1103/PhysRevD.110.086004
dc.identifier.essn2470-0029
dc.journal.titlePhysical Review Des
dc.volume.number110es
dc.issue.number8es
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones


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