Computing noncommutative Chern-Simons theory radiative corrections on the back of an envelope

Details Computing noncommutative Chern-Simons theory radiative corrections on the back of an envelope Computing noncommutative Chern-Simons theory radiative corrections on the back of an envelope

2001-04-10

arxiv.org/abs/hep-th/0104091v1

Phys.Lett. B515 (2001) 185-191

Physics

High Energy Physics

High Energy Physics - Theory

In memory of Professor G. Leibbrandt

Scientific paper

10.1016/S0370-2693(01)00707-9

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.

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