Publication

A New Lagrangian Dynamic Reduction In Field Theory

Tudor Ratiu, François Gay-Balmaz
2010
Journal Articles

Abstract

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.

Official source

https://infoscience.epfl.ch/entities/publication/cf6c2fd8-2be6-49c7-9ed6-35987eaceffe

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A New Lagrangian Dynamic Reduction In Field Theory

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