Renormalization In Coupled-Abelian Self-Dual Chern-Simons Models
Gerald Dunne, Theodore Hall
TL;DR
This paper investigates the algebraic structure and mass spectra of coupled-abelian self-dual Chern-Simons models, analyzing gauge and scalar mass relations and renormalizations in different vacua.
Contribution
It introduces a new class of coupled-abelian models derived from nonabelian systems and computes their gauge-Higgs couplings and renormalizations.
Findings
Mass spectra are related to gauge algebra exponents.
Finite renormalizations of the Chern-Simons coefficient are computed.
Vacua characterized by SU(2) embeddings.
Abstract
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.
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