Fractional spin and Galilean symmetry in a Chern-Simons matter system

Journal Article · Sun May 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.5431· OSTI ID:7206872

Banerjee, R ^[1]; Chakraborty, B ^[2]

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1. S. N. Bose National Centre for Basic Sciences, DB-17 Sector I, Salt Lake City, Calcutta-700064 (India)
2. Mehta Research Institute of Mathematics and Mathematical Physics 10, Kasturba Gandhi Marg (Old Kutchery Road), Allahabad-211002 (India)

We study the dynamics of [ital N] nonrelativistic point particles interacting with Chern-Simons gauge field in 2+1 dimensions. The model is canonically quantized in the Hamiltonian formalism without any gauge fixing. While the first quantization of the particles is retained, the fields are second quantized. The generators of the Galilean transformations are defined and shown to satisfy the requisite algebra. Fractional spin is computed, which is related to the number of particles.

• OSTI ID: 7206872
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 49:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GALILEI TRANSFORMATIONS
UNIFIED GAUGE MODELS
THREE-DIMENSIONAL CALCULATIONS
DYNAMICS
HAMILTONIANS
QUANTUM FIELD THEORY
SPIN
ANGULAR MOMENTUM
FIELD THEORIES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM OPERATORS
TRANSFORMATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)