Hamiltonian treatment of linear field theories in the presence of boundaries: A geometric approach

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dc.contributor.author Barbero G., J. Fernando
dc.contributor.author Prieto, Jorge
dc.contributor.author Sánchez Villaseñor, Eduardo Jesús
dc.date.accessioned 2017-05-17T10:35:10Z
dc.date.available 2017-05-17T10:35:10Z
dc.date.issued 2014-02-03
dc.identifier.bibliographicCitation Classical and Quantum Gravity, 2014, 31 (4), 045021.
dc.identifier.issn 0264-9381
dc.identifier.uri http://hdl.handle.net/10016/24583
dc.description.abstract The purpose of this paper is to study in detail the constraint structure of the Hamiltonian description for the scalar and electromagnetic fields in the presence of spatial boundaries. We carefully discuss the implementation of the geometric constraint algorithm of Gotay, Nester and Hinds with special emphasis on the relevant functional analytic aspects of the problem. This is an important step toward the rigorous understanding of general field theories in the presence of boundaries, very especially when these fail to be regular. The geometric approach employed in the paper is also useful with regard to the interpretation of the physical degrees of freedom and the nature of the constraints when both gauge symmetries and boundaries are present.
dc.description.sponsorship The authors want to thank M Gotay and, especially, J Nester for their useful comments. This work has been supported by the Spanish MICINN research grants FIS2009-11893, FIS2012-34379 and the Consolider-Ingenio 2010 Program CPAN (CSD2007-00042).
dc.format.extent 32
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher IOP Publishing
dc.rights © IOP Publishing Ltd , 2014
dc.subject.other Field theories with boundaries
dc.subject.other GNH algorithm
dc.subject.other Hamiltonian formalism
dc.title Hamiltonian treatment of linear field theories in the presence of boundaries: A geometric approach
dc.type article
dc.subject.eciencia Física
dc.subject.eciencia Matemáticas
dc.identifier.doi https://dx.doi.org/10.1088/0264-9381/31/4/045021
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2009-11893
dc.relation.projectID Gobierno de España. FIS2012-34379
dc.relation.projectID Gobierno de España. CSD2007-00042
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 045021-1
dc.identifier.publicationissue 4
dc.identifier.publicationlastpage 045021-32
dc.identifier.publicationtitle Classical and Quantum Gravity
dc.identifier.publicationvolume 31
dc.identifier.uxxi AR/0000014636
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