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Non-Abelian BFFT embedding, Schrödinger quantization and the field-antifield anomaly of the nonlinear sigma model.

Authors :
de Abreu, E. M. C.
Ananias Neto, J.
Mendes, A. C. R.
Oliveira-Neto, G.
Source :
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. Jan2016, Vol. 31 Issue 1, p1. 15p.
Publication Year :
2016

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0217751X
Volume :
31
Issue :
1
Database :
Academic Search Index
Journal :
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
Publication Type :
Academic Journal
Accession number :
112191646
Full Text :
https://doi.org/10.1142/S0217751X15502255