%0 Journal Article
%T Some aspects of the homogeneous formalism in Field Theory and gauge invariance
%A M. Palese
%A E. Winterroth
%J Mathematics
%D 2006
%I arXiv
%X 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.
%U http://arxiv.org/abs/math-ph/0603062v2