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TMF, 2007, Volume 151, Number 3, Pages 405–412 (Mi tmf6055)  

Current algebra and the nonlinear $\sigma$-model

S. Ghosh

Indian Statistical Institute

Abstract: We present the current algebra of a particular form in the nonlinear $\sigma$-model. The algebra has a non-Abelian form with field-dependent structure functions. We comment on the connection of the model with noncommutative space.

Keywords: current algebra, nonlinear $\sigma$-model, noncommutative phase space

DOI: https://doi.org/10.4213/tmf6055

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English version:
Theoretical and Mathematical Physics, 2007, 151:3, 774–780

Bibliographic databases:


Citation: S. Ghosh, “Current algebra and the nonlinear $\sigma$-model”, TMF, 151:3 (2007), 405–412; Theoret. and Math. Phys., 151:3 (2007), 774–780

Citation in format AMSBIB
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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