Lagrangian reductive structures on gauge-natural bundles
arXiv:0712.0925 · doi:10.1016/S0034-4877(08)80028-6
Abstract
A reductive structure is associated here with Lagrangian canonically defined conserved quantities on gauge-natural bundles. Parametrized transformations defined by the gauge-natural lift of infinitesimal principal automorphisms induce a variational sequence such that the generalized Jacobi morphism is naturally self-adjoint. As a consequence, its kernel defines a reductive split structure on the relevant underlying principal bundle.
11 pages, remarks and comments added, this version published in ROMP
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Cited by in corpus (4)
- Variational Sequences, Representation Sequences and Applications in Physics
- A variational perspective on classical Higgs fields in gauge-natural theories
- Higgs fields induced by Yang--Mills type Lagrangians on gauge-natural prolongations of principal bundles
- The Jacobi morphism and the Hessian in higher order field theory; with applications to a Yang-Mills theory on a Minkowskian background