Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userFinite XXZ critical chain with double boundaries
60
0
0.0
(
0
)
Authors
T. Kojima
Ask ChatGPT about the research
No Arabic abstract
Finite XXZ chain with double boundaries is considered at critical regime $-1<Delta<1$. We construct the eigenvectors of finite Hamiltonian by means of vertex operators and the quasi-boundary states. Using the free field realizations of the vertex operators and the quasi-boundary states, integral representations for the correlation functions are derived.
rate research
Read More
We study the XXZ chain with a boundary at massless regime $-1<Delta<1$. We give the free field realizations of the boundary vacuum state and its dual. Using these realizations, we give the integrable representations of the correlation functions.
We study the 19-vertex model associated with the quantum group $U_q(hat{sl_2})$ at critical regime $|q|=1$. We give the realizations of the type-I vertex operators in terms of free bosons and free fermions. Using these free field realizations, we give the integral representations for the correlation functions.
The higher rank analogue of the XXZ model with a boundary is considered on the basis of the vertex operator approach. We derive difference equations of the quantum Knizhnik-Zamolodchikov type for 2N-point correlations of the model. We present infinite product formulae of two point functions with free boundary condition by solving those difference equations with N=1.
We study the SU(n) invariant massive Thirring model with boundary reflection. Our approach is based on the free field approach. We construct the free field realizations of the boundary state and its dual. For an application of these realizations, we present integral representations for the form factors of the local operators.
The noncompact homogeneous sl(3) invariant spin chains are considered. We show that the transfer matrix with generic auxiliary space is factorized into the product of three sl(3) invariant commuting operators. These operators satisfy the finite difference equations in the spectral parameters which follow from the structure of the reducible sl(3) modules.
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
