Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage--Dedecker versus de Donder--Weyl

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dc.creatorHelein, Frederic
dc.creatorKouneiher, Joseph
dc.date2004-01-28
dc.date.accessioned2026-07-07T04:30:53Z
dc.date.available2026-07-07T04:30:53Z
dc.descriptionThe main purpose in the present paper is to build a Hamiltonian theory for fields which is consistent with the principles of relativity. For this we consider detailed geometric pictures of Lepage theories in the spirit of Dedecker and try to stress out the interplay between the Lepage-Dedecker (LP) description and the (more usual) de Donder-Weyl (dDW) one. One of the main points is the fact that the Legendre transform in the dDW approach is replaced by a Legendre correspondence in the LP theory (This correspondence behaves differently: ignoring the singularities whenever the Lagrangian is degenerate).
dc.description31 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0401046
dc.identifierhttp://arxiv.org/abs/math-ph/0401046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57628
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectSymplectic Geometry
dc.titleCovariant Hamiltonian formalism for the calculus of variations with several variables: Lepage--Dedecker versus de Donder--Weyl
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