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dc.contributor.author
Capriotti, Santiago

dc.contributor.author
Díaz, V.
dc.contributor.author
García-Toraño Andrés, Eduardo

dc.contributor.author
Mestdag, T.
dc.date.available
2023-12-19T09:53:03Z
dc.date.issued
2022-10
dc.identifier.citation
Capriotti, Santiago; Díaz, V.; García-Toraño Andrés, Eduardo; Mestdag, T.; Cotangent bundle reduction and Routh reduction for polysymplectic manifolds; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 55; 41; 10-2022; 1-36
dc.identifier.issn
1751-8113
dc.identifier.uri
http://hdl.handle.net/11336/220705
dc.description.abstract
We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and we investigate aspects of the corresponding reconstruction process. We identify the polysymplectic structures that lie at the basis of cotangent bundle reduction and Routh reduction in this setting and we relate them by means of the Routhian function and its associated Legendre transformation. Throughout the paper we provide examples that illustrate various aspects of the results.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing

dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
HAMILTONIAN FIELD THEORY
dc.subject
LAGRANGIAN FIELD THEORY
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MOMENTUM MAP
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POLYSYMPLECTIC STRUCTURE
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ROUTH REDUCTION
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SYMMETRY
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SYMPLECTIC REDUCTION
dc.subject.classification
Matemática Pura

dc.subject.classification
Matemáticas

dc.subject.classification
CIENCIAS NATURALES Y EXACTAS

dc.title
Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-12-18T12:00:48Z
dc.journal.volume
55
dc.journal.number
41
dc.journal.pagination
1-36
dc.journal.pais
Reino Unido

dc.journal.ciudad
Londres
dc.description.fil
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
dc.description.fil
Fil: Díaz, V.. Universidad Nacional del Sur; Argentina
dc.description.fil
Fil: García-Toraño Andrés, Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
dc.description.fil
Fil: Mestdag, T.. Universiteit Antwerp; Bélgica. University of Ghent; Bélgica
dc.journal.title
Journal of Physics A: Mathematical and Theoretical

dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1751-8121/ac91b3
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