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Phys. Rev. Lett. 77, 4109–4113 (1996)

Asymptotic Conservation Laws in Classical Field Theory

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Ian M. Anderson1 and Charles G. Torre2
1Department of Mathematics, Utah State University, Logan, Utah 84322-3900
2Department of Physics, Utah State University, Logan, Utah 84322-4415

Received 24 June 1996; published in the issue dated 11 November 1996

A new, general, field theoretic approach to the derivation of asymptotic conservation laws is presented. In this approach asymptotic conservation laws are constructed directly from the field equations according to a universal prescription which does not rely upon the existence of Noether identities or any Lagrangian or Hamiltonian formalisms. The resulting general expressions of the conservation laws enjoy important invariance properties and synthesize all known asymptotic conservation laws, such as the Arnowitt-Deser-Misner energy in general relativity.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.4109
DOI:
10.1103/PhysRevLett.77.4109
PACS:
03.50.-z, 04.20.Cv