Chern-Simons theory as the large-mass limit of topologically massive Yang-Mills theory

Abstract

We study quantum Chern-Simons theory as the large-mass limit of the limit D→3 of dimensionally regularized topologically massive Yang-Mills theory. This approach can also be interpreted as a BRS-invariant hybrid regularization of Chern-Simons theory, consisting of a higher-covariant derivative Yang-Mills term plus dimensional regularization. Working in the Landau gauge, we compute radiative corrections up to second order in perturbation theory and show that there is no two-loop correction to the one-loop shift k→ k+ c v, k being the bare Chern-Simons parameter. In passing, we also prove by explicit computation that topologically massive Yang-Mills theory is UV finite.