Equivalent conserved currents and generalized Noether's theorem
Journal Article
·
· Ann. Phys. (N.Y.); (United States)
A generalized Noether theorem is presented, relating symmetries and equivalence classes of local) conservation laws in classical field theories; this is contrasted with the standard theorem. The concept of a ''Noether'' field theory is introduced, being a theory for which the generalized theorem applies; not only does this include the cases of Lagrangian and Hamiltonian field theories, these structures are ''derived'' from the Noether property in a natural way. The generalized theorem applies to currents and symmetries that contain derivatives of the fields up to an arbitrarily high order.
- Research Organization:
- Gonville and Caius College, University of Cambridge, Cambridge CB2 1TA, England
- OSTI ID:
- 6658723
- Journal Information:
- Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 155:1; ISSN APNYA
- Country of Publication:
- United States
- Language:
- English
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