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A new approach to spin and statistics

Abstract

We give an algebraic proof of the spin-statistics connection for the parabosonic and parafermionic quantum topological charges of a theory of local observables with a modular P{sub 1}CT-symmetry. The argument avoids the use of the spinor calculus and also works in 1+2 dimensions. It is expected to be a progress towards a general spin-statistics theorem including also (1+2)-dimensional theories with braid group statistics. (orig.)
Authors:
Publication Date:
Nov 01, 1994
Product Type:
Technical Report
Report Number:
DESY-94-211
Reference Number:
SCA: 662110; PA: DEN-95:0F5575; EDB-95:054029; SN: 95001361378
Resource Relation:
Other Information: PBD: Nov 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRAIC FIELD THEORY; COMMUTATION RELATIONS; ALGEBRA; LOCALITY; SPIN; TOPOLOGY; TWO-DIMENSIONAL CALCULATIONS; CONFORMAL INVARIANCE; CPT THEOREM; THREE-DIMENSIONAL CALCULATIONS; SPACE-TIME; CONFORMAL GROUPS; HILBERT SPACE; IRREDUCIBLE REPRESENTATIONS; QUANTUM OPERATORS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10128383
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0418-9833; Other: ON: DE95756047; TRN: DE95F5575
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
17 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Kuckert, B. A new approach to spin and statistics. Germany: N. p., 1994. Web.
Kuckert, B. A new approach to spin and statistics. Germany.
Kuckert, B. 1994. "A new approach to spin and statistics." Germany.
@misc{etde_10128383,
title = {A new approach to spin and statistics}
author = {Kuckert, B}
abstractNote = {We give an algebraic proof of the spin-statistics connection for the parabosonic and parafermionic quantum topological charges of a theory of local observables with a modular P{sub 1}CT-symmetry. The argument avoids the use of the spinor calculus and also works in 1+2 dimensions. It is expected to be a progress towards a general spin-statistics theorem including also (1+2)-dimensional theories with braid group statistics. (orig.)}
place = {Germany}
year = {1994}
month = {Nov}
}