Fractional spin and Galilean symmetry in Chern-Simons matter system
Mar, 199316 pages
Published in:
- Phys.Rev.D 49 (1994) 5431-5437
Report number:
- MRI-PHY-4-93
Citations per year
Abstract: (APS)
We study the dynamics of 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.- gauge field theory: U(1)
- Chern-Simons term
- dimension: 3
- particle: relativistic
- quantization: constraint
- quantization: 1
- quantization: 2
- Hamiltonian formalism
- spin: fractional
- fractional: spin
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