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

2000/09/30 by F. T. Brandt, Ashok Das, J. Frenkel
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum many-body systems #hep-ph #hep-th

paper · pdf · doi:10.1016/s0370-2693(00)01202-8

published as Phys.Lett. B494 (2000) 339-345 · 13 pages, 3 figures (final version to appear in Phys. Lett. B)

arxiv created 2000/10/16 · openalex publication_date 2000/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations