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Poisson–Poincaré reduction for Field Theories

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dc.contributor.authorBerbel López, Miguel Ángel
dc.contributor.authorCastrillón López, Marco
dc.date.accessioned2023-06-22T12:29:32Z
dc.date.available2023-06-22T12:29:32Z
dc.date.issued2022-10-27
dc.description.abstractGiven a Hamiltonian system on a fiber bundle, there is a Poisson covariant formulation of the Hamilton equations. When a Lie group G acts freely, properly, preserving the fibers of the bundle and the Hamiltonian density is G-invariant, we study the reduction of this formulation to obtain an analogue of Poisson–Poincaré reduction for field theories. This procedure is related to the Lagrange–Poincaré reduction for field theories via a Legendre transformation. Finally, an application to a model of a charged strand evolving in an electric field is given.en
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedFALSE
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades (España)
dc.description.statusunpub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/75599
dc.identifier.citationBerbel López, M. Á. & Castrillón López, M. «Poisson–Poincaré Reduction for Field Theories». Journal of Geometry and Physics, vol. 191, septiembre de 2023, p. 104879. DOI.org (Crossref), https://doi.org/10.1016/j.geomphys.2023.104879.
dc.identifier.doi10.1016/j.geomphys.2023.104879
dc.identifier.officialurlhttps://doi.org/10.1016/j.geomphys.2023.104879
dc.identifier.urihttps://hdl.handle.net/20.500.14352/72668
dc.language.isoeng
dc.relation.projectIDPGC2018-098321-B-I00
dc.relation.projectIDPID2021-126124NBI00
dc.relation.projectIDFPU17-02701
dc.rights.accessRightsopen access
dc.subject.cdu51-7
dc.subject.keywordField theory
dc.subject.keywordSymmetries
dc.subject.keywordCovariant reduction
dc.subject.keywordPoisson bracket
dc.subject.keywordPolysymplectic
dc.subject.keywordMultisymplectic
dc.subject.keywordPoisson–Poincaré
dc.subject.ucmFísica matemática
dc.titlePoisson–Poincaré reduction for Field Theoriesen
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublicationaa9aeb6d-fc03-4c67-9c9c-9804e0926427
relation.isAuthorOfPublication32e59067-ef83-4ca6-8435-cd0721eb706b
relation.isAuthorOfPublication.latestForDiscovery32e59067-ef83-4ca6-8435-cd0721eb706b

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