Hamiltonian description of the parametrized scalar field in bounded spatial regions

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dc.contributor.author Barbero G., J. Fernando
dc.contributor.author Margalef Bentabol, Juan
dc.contributor.author Sánchez Villaseñor, Eduardo Jesús
dc.date.accessioned 2017-05-18T11:50:27Z
dc.date.available 2017-05-18T11:50:27Z
dc.date.issued 2016-04-19
dc.identifier.bibliographicCitation Classical Quantum Gravity, 2016, 33 (10), 105002.
dc.identifier.issn 0264-9381
dc.identifier.uri http://hdl.handle.net/10016/24592
dc.description.abstract We study the Hamiltonian formulation for a parametrized scalar field in a regular bounded spatial region subject to Dirichlet, Neumann and Robin boundary conditions. We generalize the work carried out by a number of authors on parametrized field systems to the interesting case where spatial boundaries are present. The configuration space of our models contains both smooth scalar fields defined on the spatial manifold and spacelike embeddings from the spatial manifold to a target spacetime endowed with a fixed Lorentzian background metric. We pay particular attention to the geometry of the infinite dimensional manifold of embeddings and the description of the relevant geometric objects: the symplectic form on the primary constraint submanifold and the Hamiltonian vector fields defined on it.
dc.description.sponsorship This work has been supported by the Spanish MINECO research grants FIS2012-34379, FIS2014-57387-C3-3-P and the Consolider-Ingenio 2010 Program CPAN (CSD 2007-00042). Juan Margalef-Bentabol is supported by a 'la Caixa' fellowship.
dc.format.extent 18
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher IOP Publishing
dc.rights © 2016 IOP Publishing Ltd
dc.subject.other Parametrized field theories
dc.subject.other Bounded domains
dc.subject.other Hamiltonian formulation
dc.title Hamiltonian description of the parametrized scalar field in bounded spatial regions
dc.type article
dc.subject.eciencia Física
dc.subject.eciencia Materiales
dc.identifier.doi https://dx.doi.org/10.1088/0264-9381/33/10/105002
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2012-34379
dc.relation.projectID Gobierno de España. FIS2014-57387-C3-3-P
dc.relation.projectID Gobierno de España. CSD2007-00042
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 105002-1
dc.identifier.publicationissue 10
dc.identifier.publicationlastpage 105002-18
dc.identifier.publicationtitle Classical and Quantum Gravity
dc.identifier.publicationvolume 33
dc.identifier.uxxi AR/0000018358
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