Chern-Simons Theories on the Noncommutative Plane
Journal Article
·
· Physical Review Letters
We investigate U(N) Chern-Simons theories on the noncommutative plane. We show that for the theories to be consistent quantum mechanically, the coefficient of the Chern-Simons term should be quantized {kappa}=n/2{pi} with an integer n . This is a surprise for the U(1) gauge theory. When uniform background charge density {rho}{sub e} is present, the quantization rule changes to {kappa}+{rho}{sub e}{theta}=n/2{pi} with the noncommutative parameter {theta} . With the exact expression for the angular momentum, we argue in the U(1) theory that charged particles in the symmetric phase carry fractional spin 1/2n and vortices in the broken phase carry half-integer or integer spin -n/2 .
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40277040
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 3 Vol. 87; ISSN 0031-9007
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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