Geodesic
Some aspects of the homogeneous formalism in field theory and gauge invariance
Archivum mathematicum, Tome 42 (2006) no. 5, pp. 319-327.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 53Cxx, 58Exx, 70G45, 70S05
Keywords: jets; connections; homogeneous formalism; Hamilton equations; energy; gravity 
@article{ARM_2006__42_5_a18,
     author = {Palese, Marcella and Winterroth, Ekkehart},
     title = {Some aspects of the homogeneous formalism in field theory and gauge invariance},
     journal = {Archivum mathematicum},
     pages = {319--327},
     publisher = {mathdoc},
     volume = {42},
     number = {5},
     year = {2006},
     mrnumber = {2322418},
     zbl = {1164.53332},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2006__42_5_a18/}
}
TY  - JOUR
AU  - Palese, Marcella
AU  - Winterroth, Ekkehart
TI  - Some aspects of the homogeneous formalism in field theory and gauge invariance
JO  - Archivum mathematicum
PY  - 2006
SP  - 319
EP  - 327
VL  - 42
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2006__42_5_a18/
LA  - en
ID  - ARM_2006__42_5_a18
ER  - 
%0 Journal Article
%A Palese, Marcella
%A Winterroth, Ekkehart
%T Some aspects of the homogeneous formalism in field theory and gauge invariance
%J Archivum mathematicum
%D 2006
%P 319-327
%V 42
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2006__42_5_a18/
%G en
%F ARM_2006__42_5_a18
Palese, Marcella; Winterroth, Ekkehart. Some aspects of the homogeneous formalism in field theory and gauge invariance. Archivum mathematicum, Tome 42 (2006) no. 5, pp. 319-327. http://geodesic.mathdoc.fr/item/ARM_2006__42_5_a18/