Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-22
International Journal of Pure and Applied Mathematics, 50 (2009) 213-219
Physics
High Energy Physics
High Energy Physics - Theory
6 pages. Talk presented at the Fifth International Conference of Applied Mathematics and Computing (Plovdiv, Bulgaria, August
Scientific paper
Some properties of the non-commutative (NC) versions of the generalized sine-Gordon model (NCGSG) and its dual massive Thirring theory are studied. Our method relies on the NC extension of integrable models and the master lagrangian approach to deal with dual theories. The master lagrangian turns out to be the NC version of the so-called affine Toda model coupled to matter related to the group GL(n), in which the Toda field $g \subset GL(n), (n=2, 3)$. Moreover, as a reduction of GL(3) NCGSG one gets a NC version of the remarkable double sine-Gordon model.
Blas Harold
Carrión Hector L.
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