On Fermi-Bose correspondence in (2 + 1) dimensions

Journal Article · Sat Oct 20 04:00:00 EDT 1990 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X90001719· OSTI ID:5735780

Kovner, A ^[1]

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1. Physics Dept. Univ. of British Columbia, Vancouver, British Columbia V6T 2A6 (CA)

The authors consider the correspondence between the O(3) nonlinear {sigma}-model with the Hopf invariant {theta} = {pi} and a four-fermi SU(2) invariant theory in (2 + 1) dimensions. In this paper it is shown that the two theories have a very similar phase structure. This includes the pattern of breakdown of various symmetries and a spectrum of low-lying excitations. Both theories are renormalizable. This suggests their possible equivalence.

• OSTI ID: 5735780
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 5:20; ISSN 0217-751X; ISSN IMPAE
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662210* -- Specific Theories & Interaction Models
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON-EXCHANGE MODELS
BOSON-FERMION SYMMETRY
EQUIVALENCE PRINCIPLE
LIE GROUPS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
PARTICLE MODELS
PERIPHERAL MODELS
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
RENORMALIZATION
SIGMA MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS