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research article
A New Lagrangian Dynamic Reduction In Field Theory
For symmetric classical field theories on principal bundles there are two methods of symmetry reduction: covariant and dynamic. Assume that the classical field theory is given by a symmetric covariant Lagrangian density defined on the first jet bundle of a principal bundle. It is shown that covariant and dynamic reduction lead to equivalent equations of motion. This is achieved by constructing a new Lagrangian defined on an infinite dimensional space which turns out to be gauge group invariant.
Type
research article
Web of Science ID
WOS:000281235800011
Authors
Publication date
2010
Published in
Volume
60
Start page
1125
End page
1160
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 16, 2011
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