The universality of the shift of the Chern-Simons parameter for a general class of BRS invariant regularizations

Abstract

We consider a biparametric family of BRS invariant regularization methods of SU(N) Chern-Simons theory (the parameters defining the family taking arbitrary values in $\RR^2$) and show that the shift $k\to k+sign(k)N$ of the Chern-Simons parameter $k$ occurs for arbitrary values of the family defining parameters. This supports irrefutably the conjecture that the shift of $k$ is universal for BRS invariant regulators.

phyzzx, 7 pages (no figures)

References in corpus (3)

• Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory
• Physically meaningful and not so meaningful symmetries in Chern-Simons theory
• Matter Coupling and Spontaneous Symmetry Breaking in Topological Gravity

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• The Chern-Simons Coefficient in Supersymmetric Yang-Mills Chern-Simons Theories
• Consistency Relations for an Implicit n-dimensional Regularization Scheme
• Effective Average Action of Chern-Simons Field Theory
• Chern-Simons as a geometrical set up for three dimensional gauge theories
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Shift versus no-shift in local regularizations of Chern-Simons theory
• BRS symmetry versus supersymmetry in Yang-Mills-Chern-Simons theory
• Supersymmetric Yang-Mills-Chern-Simons theory
• Higher covariant derivative regulators and non-multiplicative renormalization
• The Chern-Simons Coefficient in Supersymmetric Non-abelian Chern-Simons Higgs Theories