Non-Abelian BFFT embedding, Schrödinger quantization and the anomaly of the O(N) nonlinear sigma model

Details Non-Abelian BFFT embedding, Schrödinger quantization and the anomaly of the O(N) nonlinear sigma model Non-Abelian BFFT embedding, Schrödinger quantization and the anomaly of the O(N) nonlinear sigma model

2000-12-13

arxiv.org/abs/hep-th/0012115v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, revtex, no figures

Scientific paper

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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