Some comments on the integrability of the noncommutative generalized massive Thirring model
@article{Blas2009SomeCO, title={Some comments on the integrability of the noncommutative generalized massive Thirring model}, author={H. Blas and Hector L. Carri{\'o}n and B. M. Cerna}, journal={arXiv: High Energy Physics - Theory}, year={2009} }
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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Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
- Mathematics
- 2010
Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method…
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