Global Generalized Bianchi Identities for Invariant Variational Problems on Gauge-natural Bundles

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dc.creatorPalese, M.
dc.creatorWinterroth, E.
dc.date2003-11-05
dc.date2005-01-02
dc.date.accessioned2026-07-07T06:20:07Z
dc.date.available2026-07-07T06:20:07Z
dc.descriptionWe derive both {\em local} and {\em global} generalized {\em Bianchi identities} for classical Lagrangian field theories on gauge-natural bundles. We show that globally defined generalized Bianchi identities can be found without the {\em a priori} introduction of a connection. The proof is based on a {\em global} decomposition of the {\em variational Lie derivative} of the generalized Euler--Lagrange morphism and the representation of the corresponding generalized Jacobi morphism on gauge-natural bundles. In particular, we show that {\em within} a gauge-natural invariant Lagrangian variational principle, the gauge-natural lift of infinitesimal principal automorphism {\em is not} intrinsically arbitrary. As a consequence the existence of {\em canonical} global superpotentials for gauge-natural Noether conserved currents is proved without resorting to additional structures.
dc.description24 pages, minor changes, misprints corrected, a misprint in the coordinate expression of the Jacobi morphism corrected; final version to appear in Arch. Math. (Brno)
dc.identifierhttps://arxiv.org/abs/math-ph/0311003
dc.identifierhttp://arxiv.org/abs/math-ph/0311003
dc.identifierArch. Math. (Brno), 41(3) (2005) 289--310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95245
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subject58A20;58A32;58E30;58E40;58J10;58J70
dc.titleGlobal Generalized Bianchi Identities for Invariant Variational Problems on Gauge-natural Bundles
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