Absence of higher order corrections to the non-Abelian Chern-Simons coefficient

Details Absence of higher order corrections to the non-Abelian Chern-Simons coefficient Absence of higher order corrections to the non-Abelian Chern-Simons coefficient

2000-09-28

arxiv.org/abs/hep-th/0009236v2

Phys.Lett. B494 (2000) 339-345

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 3 figures (final version to appear in Phys. Lett. B)

Scientific paper

10.1016/S0370-2693(00)01202-8

We extend the Coleman-Hill analysis to non-Abelian Chern-Simons theories containing a tree level topological mass term. We show, in the case of a pure Yang-Mills-Chern-Simons theory, that there are no corrections to the coefficient of the Chern-Simons term beyond one loop in the axial gauge. Our arguments use constraints coming only from small gauge Ward identities as well as the analyticity of the amplitudes, much like the proof in the Abelian case. Some implications of this result are also discussed.

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