Canonical structure of classical field theory in the polymomentum phase space

@article{Kanatchikov1998CanonicalSO,
  title={Canonical structure of classical field theory in the polymomentum phase space},
  author={I. Kanatchikov},
  journal={Reports on Mathematical Physics},
  year={1998},
  volume={41},
  pages={49-90}
}
  • I. Kanatchikov
  • Published 1998
  • Mathematics, Physics
  • Reports on Mathematical Physics
  • Abstract Canonical structure of classical field theory in n dimensions is studied within the covariant polymomentum Hamiltonian formulation of De Donder-Weyl (DW). The bi-vertical (n + 1)-form, called polysymplectic, is put forward as a generalization of the symplectic form in mechanics. Although not given in intrinsic geometric terms differently than a certain coset, it gives rise to the invariantly defined map between horizontal forms playing the role of dynamical variables and the so-called… CONTINUE READING
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