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}
}

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