%0 Journal Article
%A Berbel López, Miguel Ángel
%A Castrillón López, Marco
%T Poisson–Poincaré reduction for Field Theories
%D 2022
%U https://hdl.handle.net/20.500.14352/72668
%X Given a Hamiltonian system on a fiber bundle, there is a Poisson covariant formulation of the Hamilton equations. When a Lie group G acts freely, properly, preserving the fibers of the bundle and the Hamiltonian density is G-invariant, we study the reduction of this formulation to obtain an analogue of Poisson–Poincaré reduction for field theories. This procedure is related to the Lagrange–Poincaré reduction for field theories via a Legendre transformation. Finally, an application to a model of a charged strand evolving in an electric field is given.
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