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Non-Abelian BFFT embedding, Schrödinger quantization and the field–antifield anomaly of the nonlinear sigma model
https://doi.org/10.1142/S0217751X15502255Cited by:3 (Source: Crossref)
Abstract
We have embedded the nonlinear sigma model in a non-Abelian gauge theory. After that as a first class-system, it was quantized using two different approaches: the functional Schrödinger method and the nonlocal field–antifield procedure. First, the quantization was performed with the functional Schrödinger method, for , obtaining the wave functionals for the ground and excited states. Second, using the well-known BV formalism, we have computed the one-loop anomaly. This result shows that the classical gauge symmetries, which appear due to the conversion via BFFT method, are broken at the quantum level.
In memoriam of our dear friend and physicist Prof. Wilson Oliveira
PACS: 11.10.-z, 11.10.Ef, 11.15.-q, 11.15.Tk
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