Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
نویسندگان
چکیده
منابع مشابه
Partition function of the eight-vertex model with domain wall boundary condition
We derive the recursive relations of the partition function for the eight-vertex model on an N×N square lattice with domain wall boundary condition. Solving the recursive relations, we obtain the explicit expression of the domain wall partition function of the model. In the trigonometric/rational limit, our results recover the corresponding ones for the six-vertex model. PACS: 75.10.Pq, 04.20.J...
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 کاملSe 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 کاملFactorized Domain Wall Partition Functions in Trigonometric Vertex Models
We obtain factorized domain wall partition functions for two sets of trigonometric vertex models: 1. The N-state Deguchi-Akutsu models, for N ∈ {2, 3, 4} (and conjecture the result for all N ≥ 5), and 2. The sl(r+1|s+1) Perk-Schultz models, for {r, s ∈ N}, where (given the symmetries of these models) the result is independent of {r, s}. 0. Introduction Domain wall partition functions (DWPF’s) w...
متن کاملSU ( N ) Vertex Model with Non - Diagonal Open Boundaries
We diagonalize the double-row transfer matrix of the SU (N) vertex model for certain classes of non-diagonal boundary conditions. We derive explicit expressions for the corresponding eigenvectors and eigenvalues by means of the algebraic Bethe ansatz approach.
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: Nuclear Physics B
سال: 2011
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2011.01.029