Some remarks on anyons on the two-sphere

Journal Article · Wed Jan 15 00:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.709· OSTI ID:5107349

Comtet, A; McCabe, J; Ouvry, S ^[1]

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1. Division de Physique Theorique, Institut de Physique Nucleaire, 91406 Orsay (France)

We construct a Hamiltonian for {ital N} anyons moving on the two-sphere. We show why the anyonic gauge coupling must satisfy a Dirac quantization condition, reproducing the braiding constraint on the statistical parameter. We then give a perturbative analysis of the {ital N}-body spectrum near Bose statistics.

• OSTI ID: 5107349
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 45:2; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MANY-BODY PROBLEM
BOSE-EINSTEIN STATISTICS
VECTOR FIELDS
DIRAC EQUATION
EQUATIONS OF MOTION
GAUGE INVARIANCE
GREEN FUNCTION
HAMILTONIANS
MAGNETIC MONOPOLES
PARTITION FUNCTIONS
PERTURBATION THEORY
QUANTIZATION
QUANTUM MECHANICS
TWO-DIMENSIONAL CALCULATIONS
U-1 GROUPS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
MECHANICS
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
QUANTUM OPERATORS
SYMMETRY GROUPS
U GROUPS
WAVE EQUATIONS
662240* - Models for Strong Interactions- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)