Induced Chern-Simons and WZW action in noncommutative space-time
Mar, 200012 pages
Published in:
- Nucl.Phys.B 580 (2000) 352-362
e-Print:
- hep-th/0003007 [hep-th]
Report number:
- NEIP-00-004
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Abstract:
We consider noncommutative gauge theory with Dirac or Majorana fermions in odd dimensional spacetime and compute the induced noncommutative Chern-Simons action generated at 1-loop. We observe that the Chern-Simons term induced by a Dirac fermion has a smooth limit when , but there is a finite jump for the Chern-Simons term induced by a Majorana spinor. The induced Chern-Simons action from a Majorana spinor is nonvanishing even in the limit, a discontinuity that shares a similar characteristic as the UV/IR singularity discovered originally by Minwalla, Raamsdonk and Seiberg. Properties of the noncommutative WZW action are also discussed.- 11.25.Db
- 11.30.Ly
- 11.15.Tk
- String theory in backgrounds
- Noncommutative geometry
- Anomaly
- Chern–Simons action
- fermion
- gauge field theory: U(1)
- gauge field theory: induced
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