Integer quantization of the Chern-Simons coefficient in a broken phase

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.

gauge field theory: SU(N)
Higgs model
dimension: 3
field theory: topological
field theory: massive
massive: field theory
spontaneous symmetry breaking
Chern-Simons term
propagator
perturbation theory: higher-order

References(14)

Figures(0)

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