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.
@article{108038,
author = {Marcella Palese and Ekkehart Winterroth},
title = {Some aspects of the homogeneous formalism in field theory and gauge invariance},
journal = {Archivum Mathematicum},
volume = {042},
year = {2006},
pages = {319-327},
zbl = {1164.53332},
mrnumber = {2322418},
language = {en},
url = {http://dml.mathdoc.fr/item/108038}
}
Palese, Marcella; Winterroth, Ekkehart. Some aspects of the homogeneous formalism in field theory and gauge invariance. Archivum Mathematicum, Tome 042 (2006) pp. 319-327. http://gdmltest.u-ga.fr/item/108038/
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