Abstract
As shown by Kovner and Rosenstein, the O(N) invariant nonlinear sigma model, which in Dirac’s language of constrained systems presents only second-class type of constraints, possess a hidden U(1) gauge symmetry. The presence of this symmetry is investigated, in this work, with the introduction of a Wess–Zumino term that implements Faddeev’s idea of changing second-class constraints into gauge generating first-class constraints. The resulting theory exhibits the embedding of the O(N) invariant model into a gauge theory which presents an enlarged phase-space with the inclusion of a Wess–Zumino field.
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