Published 1989 | Version v1
Report Restricted

Fermionized spin systems and the boson-fermion mapping in 2+1 dimensional gauge theory

Creators

  • 1. Niels Bohr Inst., Copenhagen (Denmark)
  • 2. British Columbia Univ., Vancouver (Canada). Dept. of Physics

Description

A generalization of the Jordan-Wigner transformation is used to present 2 dimensional quantum spin systems with s=1/2 as particular lattice gauge theories with spinless Fermionic variables. It is argued that for magnetically ordered phases the large wavelength limit produces a concrete physical realization of continuum topologically massive electrodynamics in 2+1 dimensions with Fermionic matter. We also give an explicit example of transmutation from Fermi to Bose statistics in 2+1 dimensional gauge theory with a Chern-Simons term. (orig.)

Availability note (English)

MF available from INIS under the Report Number.

Files

Restricted

The record is publicly accessible, but files are restricted to users with access.

Additional details

Publishing Information

Imprint Pagination
12 p.
Report number
NBI-HE--89-18

INIS

Country of Publication
Denmark
Country of Input or Organization
Denmark
INIS RN
20053455
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ACTION INTEGRAL; ANISOTROPY; BOSE-EINSTEIN STATISTICS; FERMI STATISTICS; FERMIONS; FIELD ALGEBRA; HAMILTONIANS; HEISENBERG MODEL; INTEGRAL TRANSFORMATIONS; LATTICE FIELD THEORY; QUANTUM ELECTRODYNAMICS; REST MASS; SO-3 GROUPS; SPACE-TIME; SPINOR FIELDS; THREE-DIMENSIONAL CALCULATIONS; TOPOLOGY; TWO-DIMENSIONAL CALCULATIONS; U-1 GROUPS; UNIFIED GAUGE MODELS
Descriptors DEC
CONSTRUCTIVE FIELD THEORY; CRYSTAL MODELS; ELECTRODYNAMICS; FIELD THEORIES; INTEGRALS; LIE GROUPS; MASS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SO GROUPS; SYMMETRY GROUPS; TRANSFORMATIONS; U GROUPS