Publication: Chern-Simons theory as the large-mass limit of topologically massive Yang-Mills theory
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1992-08-17
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Elsevier Science BV
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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.
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Copyright © 1992 Published by Elsevier B.V.
The authors are grateful to Professors G. Leibbrandt and J.C. Taylor for valuable conversations and encouragement. GG was supported by the Italian Consiglio Nazionale delle Ricerche, CPM by the National Science and Engineering Research Council of Canada under grant No. A-8063, and FRR by The Commission of the European Communities through contract No. SC1000488 with The Niels Bohr Institute. Their work also benefited from partial support from CICYT, Spain.
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