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Some aspects of the homogeneous formalism in Field Theory and gauge invariance by Palese, M.; Winterroth, E. is a scholarly article available to read on EtoBox.

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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.

Author

Palese, M.; Winterroth, E.

Published

2006

Language

EN