Absence of higher order corrections to the non-Abelian Chern-Simons coefficient
High Energy Physics - Theory
2009-10-31 v2 High Energy Physics - Phenomenology
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0009236,
title = {Absence of higher order corrections to the non-Abelian Chern-Simons coefficient},
author = {F. T. Brandt and Ashok Das and J. Frenkel},
journal= {arXiv preprint arXiv:hep-th/0009236},
year = {2009}
}
Comments
13 pages, 3 figures (final version to appear in Phys. Lett. B)