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arXiv · 0910.0541

Some comments on the integrability of the noncommutative generalized massive Thirring model

H. Blas·H. L. Carrion·B. M. Cerna
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Abstract

Some properties of a non-commutative version of the generalized massive Thirring theory (NCGMT) are studied. We develop explicit calculations for the affine Lie algebra $gl(3)$ case. The NCGMT model is written in terms of Dirac type fields corresponding to the Moyal product extension of the ordinary multi-field massive Thirring model. We discuss the Lagrangian formulation, its zero-curvature representation and integrability property of certain submodels.

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H. Blas, H. L. Carrion, B. M. Cerna. 2009-10-03. Some comments on the integrability of the noncommutative generalized massive Thirring model. https://arxiv.org/abs/0910.0541

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