Titre du document

A geometrical theorem on the asymptotic space-time properties of conservation laws in a classical field theory

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Nom du Corpus

AstroConcepts

Auteur(s)
  • Robert G Cawley
Affiliation(s)
  • U. S. Naval Ordnance Laboratory, Silver Spring, Maryland 20910, USA
Résumé

A result, having to do with the asymptotic space-time properties of conservations laws and which we call the cone bands theorem, is proved for a classical field theory model. With the aid of the theorem it is possible to define a tensor reduction procedure on conserved and asymptotically conserved quantities. The reduction procedure applied to such objects permits identification of components of radiation by means of conical hypersurfaces, or in analogy to particle world lines, radiation world cones, whose axes lie along the four velocities U? of the radiation.It is shown that for the classical theory of a massive real scalar field (retarded solution), produced by a collection of point sources experiencing arbitrary accelerations in a finite region of space-time, these conditions are met by the stress-energy tensor T?? and by a set of asymptotically conserved amplitude vectors A?(?)?(x). A dimensionless quantity d3N(U) arises which measures the amount of radiation lying along the direction U? and which is identified with the radiated particle number, or particle “number-probability.”Because the cone bands property possesses a physical interpretation which is rooted in measurement procedures, it is noted that a necessary requirement on a classical field theory, for a particle interpretation to be meaningful in the asymptotic region is that all asymptotically conserved quantities which are regarded as being carried along by the particles possess the cone bands property. Relationship of the present work to quantum field theory is discussed.

Langue(s) du document
Anglais
Année de publication
1969
Revue

Annals of Physics

Éditeur
Elsevier
Type de publication
journal
Type de document
research-article
Présence de XML structuré
Non
Version de PDF
1.3
Score de qualité du texte
9.844
Nom du concept
  • Tachyons
Catégories Science-Metrix
  • 1 - natural sciences ; 2 - physics & astronomy ; 3 - nuclear & particles physics
Catégories Inist
  • 1 - sciences appliquees, technologies et medecines ; 2 - sciences exactes et technologie ; 3 - terre, ocean, espace ; 4 - geophysique externe
Catégories Scopus
  • 1 - Physical Sciences ; 2 - Physics and Astronomy ; 3 - General Physics and Astronomy
Catégories WoS
  • 1 - science ; 2 - physics, multidisciplinary
Identifiant ISTEX
682D4180A3F37B778B7AB040B5FF09D81D17A732
ark:/67375/6H6-4JN8NVBN-K
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