Induced Chern-Simons and WZW action in noncommutative space-time

Mar, 2000
12 pages
Published in:
  • Nucl.Phys.B 580 (2000) 352-362
e-Print:
Report number:
  • NEIP-00-004

Citations per year

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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 th>0\th ---> 0, 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 th>0\th ---> 0 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