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. 
View PDF on arXiv
1 Citations

One Citation

Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons

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…

References

SHOWING 1-3 OF 3 REFERENCES

Higher grading conformal affine Toda theory and (generalized) sine-Gordon/massive Thirring duality

Some properties of the higher grading integrable generalizations of the conformal affine Toda systems are studied. The fields associated to the non-zero grade generators are Dirac spinors. The…

Non-commutative solitons and strong-weak duality

Some properties of the non-commutative versions of the sine-Gordon model (NCSG) and the corresponding massive Thirring theories (NCMT) are studied. Our method relies on the NC extension of integrable…

Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory

The solitons and kinks of the generalized sl(3,) sine-Gordon (GSG) model are explicitly obtained through the hybrid of the Hirota and dressing methods in which the tau functions play an important…