Computing noncommutative Chern-Simons theory radiative corrections on the back of an envelope
arXiv:hep-th/0104091 · doi:10.1016/S0370-2693(01)00707-9
Abstract
We show that the renormalized U(N) noncommutative Chern-Simons theory can be defined in perturbation theory so that there are no loop corrections to the 1PI functional of the theory in an arbitrary homogeneous axial (time-like, light-like or space-like) gauge. We define the free propagators of the fields of the theory by using the Leibbrandt-Mandelstam prescription --which allows Wick rotation and is consistent with power-counting-- and regularize its Green functions with the help of a family of regulators which explicitly preserve the infinitesimal vector Grassmann symmetry of the theory. We also show that in perturbation theory the nonvanishing Green functions of the elementary fields of the theory are products of the free propagators.
In memory of Professor G. Leibbrandt
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Cited by in corpus (9)
- Morita Duality and Large-N Limits
- Lattice Perturbation Theory in Noncommutative Geometry and Parity Anomaly in 3D Noncommutative QED
- Consistent Interactions of the 2+1 Dimensional Noncommutative Chern-Simons Field
- Quantum aspects of Seiberg-Witten map in noncommutative Chern-Simons theory
- Finite Temperature effects on the Induced Chern-Simons term in noncommutative geometry
- Induced magnetic moment in noncommutative Chern-Simons scalar QED
- On the quantum equivalence of commutative and noncommutative Chern-Simons theories at higher orders
- Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
- Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model