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arXiv · hep-th/9206007

Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory

G. Giavarini·C. P. Martin·F. Ruiz Ruiz
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Abstract

We study quantum Chern-Simons theory as the large mass limit of the limit $D\to 3$ 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 $k\rightarrow k+ c_{\scriptscriptstyle V},\,\,k$ being the bare Chern-Simons parameter. In passing we also prove by explicit computation that topologically massive Yang-Mills theory is UV finite.

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G. Giavarini, C. P. Martin, F. Ruiz Ruiz. 1992-06-02. Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory. https://doi.org/10.1016/0550-3213(92)90647-t

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