Some aspects of the homogeneous formalism in field theory and
gauge invariance  Marcella Palese and Ekkehart Winterroth
Department of Mathematics, University of Torino, via C. Alberto
10, 10123 Torino, Italy   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 {\em
formal energy} for a parametrized version of the Hilbert--
Einstein Lagrangian and we show that this quantity is conserved.
AMSclassification. 53C05, 58A20, 70H05, 70S05, 83C40.  Keywords.
Jets, connections, homogeneous formalism, Hamilton equations,
energy, gravity.