Non-Abelian Chern-Simons quantum mechanics

Journal Article · Sun Feb 20 23:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.1141· OSTI ID:5011240

Lee, T ^[1]; Oh, P ^[2]

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1. Department of Physics, Kangwon National University, Chuncheon 200-701 (Korea, Republic of)
2. Department of Physics, Sung Kyun Kwan University, Suwon 440-746 (Korea, Republic of)

We propose a classical model for the non-Abelian Chern-Simons theory coupled to [ital N] pointlike sources and quantize the system using the Becchi-Rouet-Stora-Tyutin technique. The resulting quantum mechanics provides a unified framework for fractional spin, braid statistics, and Knizhnik-Zamolodchikov equation.

• OSTI ID: 5011240
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:8; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACTION INTEGRAL
ANGULAR MOMENTUM
ANYONS
FUNCTIONS
INTEGRALS
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
MECHANICS
PARTICLE PROPERTIES
QUANTIZATION
QUANTUM MECHANICS
QUASI PARTICLES
SPIN
STATISTICS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS