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

E. M. C. Abreu; J. Ananias Neto; W. Oliveira; G. Oliveira-Neto

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arXiv · hep-th/0012115

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

E. M. C. Abreu·J. Ananias Neto·W. Oliveira·G. Oliveira-Neto

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Abstract

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 Schrödinger method and the non-local field-antifield procedure. Firstly, the quantization is performed with the functional Schrödinger 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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E. M. C. Abreu, J. Ananias Neto, W. Oliveira, G. Oliveira-Neto. 2000-12-13. Non-Abelian BFFT embedding, Schrödinger quantization and the anomaly of the O(N) nonlinear sigma model. https://arxiv.org/abs/hep-th/0012115

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