Physically meaningful and not so meaningful symmetries in Chern-Simons theory

Details Physically meaningful and not so meaningful symmetries in Chern-Simons theory Physically meaningful and not so meaningful symmetries in Chern-Simons theory

1993-05-06

arxiv.org/abs/hep-th/9305021v1

Phys.Rev.D47:5536-5545,1993

Physics

High Energy Physics

High Energy Physics - Theory

phyzzx, 21 pages, 2 figures in one PS file

Scientific paper

10.1103/PhysRevD.47.5536

We explicitly show that the Landau gauge supersymmetry of Chern-Simons theory does not have any physical significance. In fact, the difference between an effective action both BRS invariant and Landau supersymmetric and an effective action 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 $k \to k+\cv$ of the bare Chern-Simons parameter $k$ in conncection 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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