Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-05
Int. J. Mod. Phys. A11 (1996) 1747
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX files. 19 pages. Figures included using LaTeX format. Uses uufiles
Scientific paper
Using the representation of the quantum group $SL_q$(2) by the Weyl ope\-ra\-tors of the canonical commutation relations in quantum mechanics, we construct and solve a new vertex model on a square lattice. Random variables on horizontal bonds are Ising variables, and those on the vertical bonds take half positive integer values. The vertices is subjected to a genera\-li\-zed form of the so-called ``ice-rule'', its property are studied in details and its free energy calculated with the method of quantum inverse scattering. Remarkably in analogy with the usual six-vertex model, there exists a ``Free-Fermion'' limit with a novel rich operator structure. The existing algebraic structure suggests a possible connection with a lattice neutral plasma of charges, via the Fermion-Boson correspondence.
Ciré Sow L.
Truong Tuyen Trung
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