English

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

High Energy Physics - Theory 2007-05-23 v1

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 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.

Keywords

Cite

@article{arxiv.hep-th/0012115,
  title  = {Non-Abelian BFFT embedding, Schr\"odinger quantization and the anomaly of the O(N) nonlinear sigma model},
  author = {E. M. C. Abreu and J. Ananias Neto and W. Oliveira and G. Oliveira-Neto},
  journal= {arXiv preprint arXiv:hep-th/0012115},
  year   = {2007}
}

Comments

16 pages, revtex, no figures