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Absence of topological effects in the gauged SU(2) nonlinearσmodel in 2+1 dimensions

Percacci, R.
We first review the θ sectors of the pure SU(2) nonlinear σ model and the quantization of the topological mass in the SU(2) Yang-Mills theory in 2+1 dimensions. We then show that when the two models are coupled the θ sectors disappear and the topological mass need not be quantized. We work in a canonical formalism and emphasize the role of functional magnetic fields.