The Origin of chiral anomaly and the noncommutative geometry
Dec, 1999Citations per year
Abstract:
We describe the scalar and spinor fields on noncommutative sphere starting from canonical realizations of the enveloping algebra . The gauge extension of a free spinor model, the Schwinger model on a noncommutative sphere, is defined and the model is quantized. The noncommutative version of the model contains only a finite number of dynamical modes and is non-perturbatively UV-regular. An exact expresion for the chiral anomaly is found. In the commutative limit the standard formula is recovered.Note:
- 30 pages
- field theory: scalar
- fermion
- gauge field theory: U(1)
- Schwinger model
- dimension: 2
- anomaly: chiral
- space-time: S(2)
- differential geometry: noncommutative
- path integral
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