Bethe Ansatz for the FPL 2 model
نویسنده
چکیده
An exact solution of the model of fully packed loops of two colors on a square lattice has recently been proposed by Dei Cont and Nienhuis using the coordinate Bethe Ansatz approach. We point out here a simpler alternative, in which the transfer matrix is directly identified as a product of R-matrices; this allows to apply the (nested) algebraic Bethe Ansatz, which leads to the same Bethe equations. We comment on some of the applications of this result.
منابع مشابه
Critical exponents for the FPL 2 model
Starting from the Bethe ansatz solution we derive a set of coupled non-linear integral equations for the fully packed double loop model (FPL) on the square lattice. As an application we find exact expressions for the central charge and for the scaling dimension corresponding to the simplest charge excitation. We study numerically the low-lying excitations corresponding to more general perturbat...
متن کاملFunctional relations and nested Bethe ansatz
Functional relations and nested Bethe ansatz for sl(3) chiral Potts model at q 2 = −1. Abstract We obtain the functional relations for the eigenvalues of the transfer matrix of the sl(3) chiral Potts model for q 2 = −1. For the homogeneous model in both directions a solution of these functional relations can be written in terms of roots of Bethe ansatz-like equations. In addition , a direct nes...
متن کاملAlgebraic Bethe ansatz for the gl(1|2) generalized model and Lieb-Wu equations
We solve the gl(1|2) generalized model by means of the algebraic Bethe ansatz. The resulting eigenvalue of the transfer matrix and the Bethe ansatz equations depend on three complex functions, called the parameters of the generalized model. Specifying the parameters appropriately, we obtain the Bethe ansatz equations of the supersymmetric t-J model, the Hubbard model, or of Yang’s model of elec...
متن کامل2 00 5 The algebraic Bethe ansatz for open A ( 2 ) 2 n vertex model
We solve the A (2) 2n vertex model with all kinds of diagonal reflecting matrices by using the algebraic Behe ansatz, which includes constructing the multi-particle states and achieving the eigenvalue of the transfer matrix and corresponding Bethe ansatz equations. When the model is Uq(Bn) quantum invariant, our conclusion agrees with that obtained by analytic Bethe ansatz method.
متن کاملAlgebraic Bethe ansatz for the gl(1|2) generalized model II: the three gradings
The algebraic Bethe ansatz can be performed rather abstractly for whole classes of models sharing the same R-matrix, the only prerequisite being the existence of an appropriate pseudo vacuum state. Here we perform the algebraic Bethe ansatz for all models with 9×9, rational, gl(1|2)-invariant R-matrix and all three possibilities of choosing the grading. Our Bethe ansatz solution applies, for in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1983