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dc.contributor.author
Capriotti, Santiago
dc.date.available
2018-10-10T17:25:36Z
dc.date.issued
2010-03
dc.identifier.citation
Capriotti, Santiago; Dirac constraints in field theory and exterior differential systems; American Institute of Mathematical Sciences; The Journal of Geometric Mechanics; 2; 1; 3-2010; 1-50
dc.identifier.issn
1941-4889
dc.identifier.uri
http://hdl.handle.net/11336/62081
dc.description.abstract
The usual treatment of a (first order) classical field theory such as electromagnetism has a little drawback: It has a primary constraint submanifold that arise from the fact that the dynamics is governed by the antisymmetric part of the jet variables. So it is natural to ask if there exists a formulation of this kind of field theories which avoids this problem, retaining the versatility of the known approach. The following paper deals with a family of variational problems, namely, the so called non standard variational problems, which intends to capture the data necessary to set up such a formulation for field theories. A multisymplectic structure for the family of non standard variational problems will be found, and it will be related with the (pre)symplectic structure arising on the space of sections of the bundle of fields. In this setting the Dirac theory of constraints will be studied, obtaining among other things a novel characterization of the constraint manifold which arises in this theory, as generators of an exterior differential system associated to the equations of motion and the chosen slicing. Several examples of application of this formalism will be discussed.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Mathematical Sciences
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Dirac Constraints
dc.subject
Exterior Differential Systems
dc.subject
Classical Field Theory
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Dirac constraints in field theory and exterior differential systems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-18T15:03:56Z
dc.journal.volume
2
dc.journal.number
1
dc.journal.pagination
1-50
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Springfield
dc.description.fil
Fil: Capriotti, Santiago. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
dc.journal.title
The Journal of Geometric Mechanics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.3934/jgm.2010.2.1
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/journals/displayArticles.jsp?paperID=5153
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