ar X iv : h ep - t h / 96 11 04 6 v 1 7 N ov 1 99 6 Renormalization In Coupled - Abelian Self - Dual Chern - Simons Models
نویسنده
چکیده
An algebraic restriction of the nonabelian self-dual Chern-Simons-Higgs systems leads to coupled-abelian self-dual models with intricate mass spectra. The vacua are characterized by embeddings of SU (2) into the gauge algebra; and in the broken phases, the gauge and real scalar masses are related to the exponents of the gauge algebra. In this paper we compute the gauge-gauge-Higgs couplings in the broken phases and use this to compute the finite renormalizations of the Chern-Simons coefficient in the various vacua. Chern-Simons theories are well-known to exhibit interesting topological and renormaliza-tion properties. A Dirac-style quantum consistency condition leads to an integer quantization condition (κ = 1 4π (integer)) on the coefficient κ of the Chern-Simons term in the Lagrangian [1]. Such a consistency condition is remarkably robust under renormalization; for example,
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