Integer Quantization of the Chern-Simons Coefficient in a Broken Phase

Abstract

We consider a spontaneously broken nonabelian topologically massive gauge theory in a broken phase possessing a residual nonabelian symmetry. Recently there has been some question concerning the renormalization of the Chern-Simons coefficient in such a broken phase. We show that, in this broken vacuum, the renormalized ratio of the Chern-Simons coupling to the gauge coupling is shifted by $1/4\pi$ times an integer, preserving the usual integer quantization condition on the bare parameters.

9 pages LaTeX, two figures available upon request

References in corpus (4)

• Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory
• On the Coleman-Hill Theorem
• The Chern-Simons Coefficient in the Higgs Phase
• Symmetry Breaking in the Schrödinger Representation for Chern-Simons Theories

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• The Chern-Simons Coefficient in Supersymmetric Yang-Mills Chern-Simons Theories
• Finite Temperature Perturbation Theory and Large Gauge Invariance
• Spontaneous Symmetry Breaking and the Renormalization of the Chern-Simons Term
• Sitting on the Domain Walls of N=1 Super Yang-Mills
• Spontaneous gauge symmetry breaking in a supersymmetric Chern-Simons model
• The Non-abelian Chern-Simons Coefficient in the Higgs Phase
• Topological resolution of gauge theory singularities
• The Chern-Simons Coefficient in Supersymmetric Non-abelian Chern-Simons Higgs Theories
• Renormalization In Coupled-Abelian Self-Dual Chern-Simons Models
• Canonical quantization of spontaneously broken topologically massive gauge theory
• Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model
• Mass Spectra of N=2 Supersymmetric SU(n) Chern-Simons-Higgs Theories