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

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

2009-10-03

arxiv.org/abs/0910.0541v1

PoS ISFTG:042,2009

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTex. Poster contribution to the Fifth International School on Field Theory and Gravitation, Cuiaba', Mato Grosso, M

Scientific paper

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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