On the partition function of the six-vertex model with domain wall boundary conditions
نویسندگان
چکیده
منابع مشابه
Se p 20 03 On the partition function of the six - vertex model with domain wall boundary conditions
The six-vertex model on an N × N square lattice with domain wall boundary conditions is considered. A Fredholm determinant representation for the partition function of the model is given. The kernel of the corresponding integral operator is of the so-called integrable type, and involves classical orthogonal polynomials. From this representation, a " reconstruction " formula is proposed, which e...
متن کاملSix -vertex Model with Domain Wall Boundary Conditions. Variable Inhomogeneities
We consider the six-vertex model with domain wall boundary conditions. We choose the inhomogeneities as solutions of the Bethe Ansatz equations. The Bethe Ansatz equations have many solutions, so we can consider a wide variety of inho-mogeneities. For certain choices of the inhomogeneities we study arrow correlation functions on the horizontal line going through the centre. In particular we obt...
متن کاملA new representation for the partition function of the six vertex model with domain wall boundaries
We obtain a new representation for the partition function of the six vertex model with domain wall boundaries using a functional equation recently derived by the author. This new representation is given in terms of a sum over the permutation group where the partial homogeneous limit can be taken trivially. We also show by construction that this partition function satisfies a linear partial diff...
متن کاملThermodynamic limit of the Six - Vertex Model with Domain Wall Boundary Conditions
We address the question of the dependence of the bulk free energy on boundary conditions for the six vertex model. Here we compare the bulk free energy for periodic and domain wall boundary conditions. Using a determinant representation for the partition function with domain wall boundary conditions, we derive Toda differential equations and solve them asymptotically in order to extract the bul...
متن کاملExact Solution of the Six-vertex Model with Domain Wall Boundary Conditions. Ferroelectric Phase
This is a continuation of the paper [4] of Bleher and Fokin, in which the large n asymptotics is obtained for the partition function Zn of the six-vertex model with domain wall boundary conditions in the disordered phase. In the present paper we obtain the large n asymptotics of Zn in the ferroelectric phase. We prove that for any ε > 0, as n → ∞, Zn = CG nFn 2 [1+O(e−n 1−ε )], and we find the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2004
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/37/6/003