Perturbative Chern-Simons Theory on Noncommutative R^3

Details Perturbative Chern-Simons Theory on Noncommutative R^3 Perturbative Chern-Simons Theory on Noncommutative R^3

2000-04-11

arxiv.org/abs/hep-th/0004071v2

JHEP 0007 (2000) 046

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 3 figures. Added loop calculation, conclusions unchanged, some references added

Scientific paper

10.1088/1126-6708/2000/07/046

A U(N) Chern-Simons theory on noncommutative $\mathbb{R}^{3}$ is constructed as a $\q$-deformed field theory. The model is characterized by two symmetries: the BRST-symmetry and the topological linear vector supersymmetry. It is shown that the theory is finite and $\q_{\m\n}$-independent at the one loop level and that the calculations respect the restriction of the topological supersymmetry. Thus the topological $\q$-deformed Chern-Simons theory is an example of a model which is non-singular in the limit $\q \to 0$.

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