Fluctuations around classical solutions for gauge theories in Lagrangian and Hamiltonian approach

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dc.contributor.authorMiskovic, Olivera
dc.contributor.authorPons, Josep M.
dc.date.accessioned2025-01-21T01:06:02Z
dc.date.available2025-01-21T01:06:02Z
dc.date.issued2006
dc.description.abstractWe analyse the dynamics of gauge theories and constrained systems in general under small perturbations around a classical solution in both Lagrangian and Hamiltonian formalisms. We prove that a fluctuations theory, described by a quadratic Lagrangian, has the same constraint structure and number of physical degrees of freedom as the original non-perturbed theory, assuming the non-degenerate solution has been chosen. We show that the number of Noether gauge symmetries is the same in both theories, but that the gauge algebra in the fluctuations theory becomes Abelianized. We also show that the fluctuations theory inherits all functionally independent rigid symmetries from the original theory and that these symmetries are generated by linear or quadratic generators according to whether the original symmetry is preserved by the background or is broken by it. We illustrate these results with examples.
dc.fuente.origenWOS
dc.identifier.doi10.1088/0305-4470/39/30/014
dc.identifier.issn0305-4470
dc.identifier.urihttps://doi.org/10.1088/0305-4470/39/30/014
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/96074
dc.identifier.wosidWOS:000238978400018
dc.issue.numero30
dc.language.isoen
dc.pagina.final9633
dc.pagina.inicio9611
dc.revistaJournal of physics a-mathematical and general
dc.rightsacceso restringido
dc.titleFluctuations around classical solutions for gauge theories in Lagrangian and Hamiltonian approach
dc.typeartículo
dc.volumen39
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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