Fractional spin and Galilean symmetry in a Chern-Simons matter system
Journal Article
·
· Physical Review, D (Particles Fields); (United States)
- S. N. Bose National Centre for Basic Sciences, DB-17 Sector I, Salt Lake City, Calcutta-700064 (India)
- 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), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:10; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
DYNAMICS
FIELD THEORIES
GALILEI TRANSFORMATIONS
HAMILTONIANS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPIN
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
UNIFIED GAUGE MODELS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
DYNAMICS
FIELD THEORIES
GALILEI TRANSFORMATIONS
HAMILTONIANS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPIN
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
UNIFIED GAUGE MODELS