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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 3, Pages 405–412
DOI: https://doi.org/10.4213/tmf6055 (Mi tmf6055) 		 
Current algebra and the nonlinear $\sigma$-model

S. Ghosh

Indian Statistical Institute
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DOI: https://doi.org/10.4213/tmf6055
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.
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 3, Pages 774–780
DOI: https://doi.org/10.1007/s11232-007-0063-7
Bibliographic databases:
Language: Russian
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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