Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory

@article{Zatloukal2016ClassicalFT,
  title={Classical field theories from Hamiltonian constraint: Canonical equations of motion and local Hamilton-Jacobi theory},
  author={V{\'a}clav Zatloukal},
  journal={International Journal of Geometric Methods in Modern Physics},
  year={2016},
  volume={13},
  pages={1650072}
}
  • Václav Zatloukal
  • Published 2016
  • Mathematics, Physics
  • International Journal of Geometric Methods in Modern Physics
  • Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field values. Dynamics is defined by a (Hamiltonian) constraint between multivector-valued generalized momenta, and points in the configuration space. Starting from a variational principle, we derive local equations of motion, that is, differential equations that determine classical surfaces and momenta. A local Hamilton… CONTINUE READING
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