Corpus ID: 119137777

Classical field theories from Hamiltonian constraint: Symmetries and conservation laws

@article{Zatloukal2016ClassicalFT,
  title={Classical field theories from Hamiltonian constraint: Symmetries and conservation laws},
  author={V{\'a}clav Zatloukal},
  journal={arXiv: Mathematical Physics},
  year={2016}
}

Václav Zatloukal

Published 2016

Mathematics, Physics

arXiv: Mathematical Physics

We discuss the relation between symmetries and conservation laws in the realm of classical field theories based on the Hamiltonian constraint. In this approach, spacetime positions and field values are treated on equal footing, and a generalized multivector-valued momentum is introduced. We derive a field-theoretic Hamiltonian version of the Noether theorem, and identify generalized Noether currents with the momentum contracted with symmetry-generating vector fields. Their relation to the… CONTINUE READING

View PDF on ArXiv

Save to Library

Create Alert

Cite

Launch Research Feed