Published December 1989 | Version v1
Journal article Metadata-only

Index of subfactors and statistics of quantum fields. Pt. 1

Creators

  • 1. Rome-2 Univ. (Italy). Dipt. di Matematica

Description

We identify the statistical dimension of a superselection sector in a local quantum field theory with the square root of the index of a localized endomorphism of the quasi-local C*-algebra that represents the sector. As a consequence in a two-dimensional theory the possible values of the statistical dimension below 2 are restricted to a given discrete set. (orig.)

Additional details

Publishing Information

Journal Title
Communications in Mathematical Physics
Journal Volume
126
Journal Issue
2
Series
Commun. Math. Phys.
Journal Page Range
217-247
ISSN
0010-3616
CODEN
CMPHA

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
21003811
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRAIC FIELD THEORY; CANONICAL TRANSFORMATIONS; HILBERT SPACE; LOCALITY; PARASTATISTICS; SCALE DIMENSION; STATISTICS; SUPERSELECTION RULES
Descriptors DEC
AXIOMATIC FIELD THEORY; BANACH SPACE; FIELD THEORIES; MATHEMATICAL SPACE; MATHEMATICS; QUANTUM FIELD THEORY; SELECTION RULES; SPACE; TRANSFORMATIONS