Solutions of a discretized Toda field equation for Dr from Analytic Bethe Ansatz
نویسنده
چکیده
Commuting transfer matrices of U q (X (1) r) vertex models obey the functional relations which can be viewed as an X r type Toda field equation on discrete space time. Based on analytic Bethe ansatz we present, for X r = D r , a new expression of its solution in terms of determinants and Pfaffians.
منابع مشابه
Discrete Hirota’s equation in quantum integrable models
The recent progress in revealing classical integrable structures in quantummodels solved by Bethe ansatz is reviewed. Fusion relations for eigenvalues of quantum transfer matrices can be written in the form of classical Hirota’s bilinear difference equation. This equation is also known as the completely discretized version of the 2D Toda lattice. We explain how one obtains the specific quantum ...
متن کاملLarge and small Density Approximations to the thermodynamic Bethe Ansatz
We provide analytical solutions to the thermodynamic Bethe ansatz equations in the large and small density approximations. We extend results previously obtained for leading order behaviour of the scaling function of affine Toda field theories related to simply laced Lie algebras to the non-simply laced case. The comparison with semi-classical methods shows perfect agreement for the simply laced...
متن کاملReflection Amplitudes in Non-Simply Laced Toda Theories and Thermodynamic Bethe Ansatz
We study the ultraviolet asymptotics in non-simply laced affine Toda theories considering them as perturbed non-affine Toda theories, which possess the extended conformal symmetry. We calculate the reflection amplitudes, in non-affine Toda theories and use them to derive the quantization condition for the vacuum wave function, describing zero-mode dynamics. The solution of this quantization con...
متن کاملAnalytic Bethe Ansatz for Fundamental Representations of Yangians*
We study the analytic Bethe ansatz in solvable vertex models associated with the Yangian Y (Xr) or its quantum affine analogue Uq(X (1) r ) for Xr = Br, Cr and Dr. Eigenvalue formulas are proposed for the transfer matrices related to all the fundamental representations of Y (Xr). Under the Bethe ansatz equation, we explicitly prove that they are pole-free, a crucial property in the ansatz. Conj...
متن کاملThe ultraviolet Behaviour of Integrable Quantum Field Theories , Affine Toda Field Theory
We investigate the thermodynamic Bethe ansatz (TBA) equations for a system of particles which dynamically interacts via the scattering matrix of affine Toda field theory and whose statistical interaction is of a general Haldane type. Up to the first leading order, we provide general approximated analytical expressions for the solutions of these equations from which we derive general formulae fo...
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 1996