%0 Journal Article
%A Castrillón López, Marco
%A Muñoz Masqué, Jaime
%T Hamiltonian structure of gauge-invariant variational problems
%D 2012
%@ 1095-0761
%U https://hdl.handle.net/20.500.14352/44008
%X Let C→M  be the bundle of connections of a principal bundle on M . The solutions to Hamilton–Cartan equations for a gauge-invariant Lagrangian density Λ  on C  satisfying a weak condition of regularity, are shown to admit an affine fibre-bundle structure over the set of solutions to Euler–Lagrange equations for Λ . This structure is also studied for the Jacobi fields and for the moduli space of extremals.
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