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

Abstract

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.

phyzzx, 21 pages, 2 figures in one PS file

References in corpus (1)

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

Cited by in corpus (7)

• The Chern-Simons Coefficient in Supersymmetric Yang-Mills Chern-Simons Theories
• Differential Regularization of Chern-Simons-Maxwell Spinor and Scalar Electrodynamics
• The universality of the shift of the Chern-Simons parameter for a general class of BRS invariant regularizations
• Differential Regularization of Topologically Massive Yang-Mills Theory and Chern-Simons Theory
• BRS symmetry versus supersymmetry in Yang-Mills-Chern-Simons theory
• Vector Supersymmetry and Finite Quantum Correction of Chern-Simons Theory in the Light-Cone Gauge
• Chern-Simons Spinor Electrodynamics in the Light-Cone Gauge