Physically meaningful and not so meaningful symmetries in Chern-Simons theory
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1993
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American Physical Soc
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Abstract
We explicitly show that the Landau gauge supersymmetry of Chem-Simons theory does not have any physical significance. In fact, the difference between an effective action that is both Becchi-Rouet-Stora (BRS) invariant and Landau supersymmetric and an effective action that is only BRS invariant is a finite field redefinition. Having established this, we use a BRS-invariant regulator that defines CS theory as the large mass limit of topologically massive Yang-Mills theory to discuss the shift k-->k+c(v) of the bare Chern-Simons parameter k in connection with the Landau supersymmetry. Finally, to convince ourselves that the shift above is not an accident of our regularization method, we comment on the fact that all BRS-invariant regulators used as yet yield the same value for the shift.
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© 1993 The American Physical Society.
The authors are grateful to G. Bonneau, F. Delduc, and G.Leibbrandt for valuable conversations. G.G. was supported by The Commission of the European Cornmunities through Contract No. SC900376, C.P.M. by the Natural Sciences and Engineering Research Council of Canada under Grant No. A 8063, and F.R.R. by The Commission of the European Communities through Contract No. SC1000488 with The Niels Bohr Institute and by the Stichting voor Fundamenteel Onderzoek der Materie of The Netherlands. They also acknowledge partial support from Comision de Investigacion Científica y Tecnica, Spain.