Some aspects of the homogeneous formalism in Field Theory and gauge invariance

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dc.creatorPalese, M.
dc.creatorWinterroth, E.
dc.date2006-03-24
dc.date2006-09-21
dc.date.accessioned2026-07-07T08:05:56Z
dc.date.available2026-07-07T08:05:56Z
dc.descriptionWe propose a suitable formulation of the Hamiltonian formalism for Field Theory in terms of Hamiltonian connections and multisymplectic forms where a composite fibered bundle, involving a line bundle, plays the role of an extended configuration bundle. This new approach can be interpreted as a suitable generalization to Field Theory of the homogeneous formalism for Hamiltonian Mechanics. As an example of application, we obtain the expression of a formal energy for a parametrized version of the Hilbert--Einstein Lagrangian and we show that this quantity is conserved.
dc.description9 pages, slightly revised, to appear in Proc. Winter School "Geometry and Physics", Srni (CZ) 2006
dc.identifierhttps://arxiv.org/abs/math-ph/0603062
dc.identifierhttp://arxiv.org/abs/math-ph/0603062
dc.identifierArch. Math. (Brno) 42(2006), Supplement, 319--327
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130440
dc.subjectMathematical Physics
dc.subject70S05;70G45
dc.titleSome aspects of the homogeneous formalism in Field Theory and gauge invariance
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