Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-09-08
Rept.Math.Phys.46:125-136,2000
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 14pages, To be published in the Rev. Math. Phys annual conf.ROMP99 Proceedings (Tarun, Poland, 1999)
Scientific paper
10.1016/S0034-4877(01)80016-1
Exploiting the quantum integrability condition we construct an ancestor model associated with a new underlying quadratic algebra. This ancestor model represents an exactly integrable quantum lattice inhomogeneous anisotropic model and at its various realizations and limits can generate a wide range of integrable models. They cover quantum lattice as well as field models associated with the quantum $R$-matrix of trigonometric type or at the undeformed $q \to 1$ limit similar models belonging to the rational class. The classical limit likewise yields the corresponding classical discrete and field models. Thus along with the generation of known integrable models in a unifying way a new class of inhomogeneous models including variable mass sine-Gordon model, inhomogeneous Toda chain, impure spin chains etc. are constructed.
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