Relativistic quantum field theory with fractional spin and statistics
Jun, 199032 pages
Published in:
- Nucl.Phys.B 350 (1991) 589-620
- Published: 1991
Report number:
- SACLAY-SPH-T-90-087
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Abstract: (Elsevier)
We construct a relativistic quantum field theory in 2 + 1 dimensions whose Fock states provide a multivalued representation of the Poincaré group. We add a topological term to the action of a scalar field theory and we show that this endows the path integral of the theory with an operator-valued cocycle which modifies the transformation properties of physical states. We demonstrate that one-particle states carry (in general) fractional spin. We determine the spin of many-particle states and we prove a generalized spin-statistics relation. We propose an equation of motion for on-shell states which generalizes naturally the Dirac equation.- field theory: scalar
- gauge field theory
- Chern-Simons term
- dimension: 3
- path integral
- Hamiltonian formalism
- spin: statistics
- statistics: spin
- field equations
- group theory: Poincare
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