Geodesic
Some aspects of the homogeneous formalism in field theory and gauge invariance
Archivum mathematicum, Tome 42 (2006) no. 5, pp. 319-327

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We 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.
Classification : 53Cxx, 58Exx, 70G45, 70S05
Keywords: jets; connections; homogeneous formalism; Hamilton equations; energy; gravity 
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     title = {Some aspects of the homogeneous formalism in field theory and gauge invariance},
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Palese, Marcella; Winterroth, Ekkehart. Some aspects of the homogeneous formalism in field theory and gauge invariance. Archivum mathematicum, Tome 42 (2006) no. 5, pp. 319-327. http://geodesic.mathdoc.fr/item/ARM_2006__42_5_a18/