Non-Abelian BFFT embedding, Schrödinger quantization and the field–antifield anomaly of the O(N) nonlinear sigma model
Dec, 2000
15 pages
Published in:
- Int.J.Mod.Phys.A 31 (2016) 01, 1550225
- Published: Jan 4, 2016
e-Print:
- hep-th/0012115 [hep-th]
View in:
Citations per year
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.- 11.10.−z
- 11.10.Ef
- 11.15.−q
- 11.15.Tk
- BFFT conversion method
- nonlocal BV quantization
- nonlinear sigma model
- sigma model: nonlinear
- symmetry: O(N)
- dimension: 2
References(54)
Figures(0)