| Title:
|
Some aspects of the homogeneous formalism in field theory and gauge invariance (English) |
| Author:
|
Palese, Marcella |
| Author:
|
Winterroth, Ekkehart |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
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42 |
| Issue:
|
5 |
| Year:
|
2006 |
| Pages:
|
319-327 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
jets |
| Keyword:
|
connections |
| Keyword:
|
homogeneous formalism |
| Keyword:
|
Hamilton equations |
| Keyword:
|
energy |
| Keyword:
|
gravity |
| MSC:
|
53Cxx |
| MSC:
|
58Exx |
| MSC:
|
70G45 |
| MSC:
|
70S05 |
| idZBL:
|
Zbl 1164.53332 |
| idMR:
|
MR2322418 |
| . |
| Date available:
|
2008-06-06T22:50:03Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108038 |
| . |
| Reference:
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