Classical field theories from Hamiltonian constraint: Symmetries and conservation laws
Abstract
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 multivectorvalued momentum is introduced. We derive a fieldtheoretic Hamiltonian version of the Noether theorem, and identify generalized Noether currents with the momentum contracted with symmetrygenerating vector fields. Their relation to the traditional vectorial Noether currents is then established. Throughout, we employ the mathematical language of geometric algebra and calculus.
 Publication:

arXiv eprints
 Pub Date:
 April 2016
 arXiv:
 arXiv:1604.03974
 Bibcode:
 2016arXiv160403974Z
 Keywords:

 Mathematical Physics
 EPrint:
 22 pages. arXiv admin note: substantial text overlap with arXiv:1602.00468