2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130440We 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.9 pages, slightly revised, to appear in Proc. Winter School "Geometry and Physics", Srni (CZ) 2006Mathematical Physics70S05;70G45text