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

2000/12/13 by E. M. C. Abreu, Éverton M. C. Abreu, J. Ananias Neto +7
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0012115

16 pages, revtex, no figures

arxiv created 2000/12/13 · openalex publication_date 2000/12/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Quantization of Gauge Systems

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