Published November 1976
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On currents associated with topological charges
- 1. Hamburg Univ. (Germany, F.R.). 2. Inst. fuer Theoretische Physik
Description
We consider n-component classical unit vector-fields on a D dimensional space-time. For D = n and D = 2(n-1) topological charges exist. Our investigation is for D = 2(n-1) in particular D = 4 and n = 3. The results are: a conserved current exists, but is not local; the corresponding charge is given by Hopf's invariant of the field; the charges are additive. (orig.)
Availability note (English)
MF available from INIS under the Report Number.Abstract (German)
In einer D-dimensionalen Raum-Zeit werden klassiche n-komponentige Einheitsvektorfelder betrachtet. Fuer D = n und D = 2(n-1) existieren topologische Ladungen. Die vorliegenden Untersuchungen beziehen sich auf D = 2(n-1), besonders auf D = 4 und n = 3. Man erhaelt folgende Ergebnisse: es existiert ein erhaltener Strom, dieser ist jedoch nicht-lokal; die zugehoerige Ladung ist durch die Hopf'sche Invariante des Feldes gegeben; die Ladungen sind additiv. (orig.)
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Additional details
Publishing Information
- Imprint Pagination
- 14 p.
- Report number
- DESY--76/59
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 8311389
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHARGE CONSERVATION; CURRENTS; ELECTRIC CHARGES; QUANTUM FIELD THEORY; SPACE-TIME; TOPOLOGY; VECTOR FIELDS
- Descriptors DEC
- FIELD THEORIES; MATHEMATICS
Optional Information
- Notes
- 7 refs.