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arxiv: hep-th/0012115 · v1 · submitted 2000-12-13 · ✦ hep-th

Non-Abelian BFFT embedding, Schr\"odinger quantization and the anomaly of the O(N) nonlinear sigma model

classification ✦ hep-th
keywords methodschranomalybfftfunctionalgaugemodelnon-abelian
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We embed the O(N) nonlinear sigma model in a non-Abelian gauge theory. As a first class system, it is quantized using two different approaches: the functional Schr\"odinger method and the non-local field-antifield procedure. Firstly, the quantization is performed with the functional Schr\"{o}dinger method, for N=2, obtaining the wave functionals for the ground and excited states. In the second place, using the BV formalism we compute the one-loop anomaly. This important result shows that the classical gauge symmetries, appearing due to the conversion via BFFT method, are broken at the quantum level.

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