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.


Published in:
Annales De L Institut Fourier, 60, 1125-1160
Year:
2010
Keywords:
Laboratories:




 Record created 2011-12-16, last modified 2018-01-28


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