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

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

1992-06-02

arxiv.org/abs/hep-th/9206007v1

Nucl.Phys. B381 (1992) 222-280

Physics

High Energy Physics

High Energy Physics - Theory

64 pages without figures (10 figures), DAMTP 91-34, LPTHE 91-61, NBI-HE 91-55, UGMS 91-23

Scientific paper

10.1016/0550-3213(92)90647-T

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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