Toda fields with boundary reflection
نویسنده
چکیده
We study the affine A (1) n−1 Toda fields with boundary reflection. Our approach is based on the free field approach. We construct 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. In a limiting case ρ → ∞, our integral representations reproduce those of form factors for the SU(n) invariant massive Thirring model with boundary reflection [1].
منابع مشابه
Normalization Factors, Reflection Amplitudes and Integrable Systems
We calculate normalization factors and reflection amplitudes in the Winvariant conformal quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed conformal field theories. We apply these results to evaluate explicitly the expectation values of order parameters in the field theories associated with statis...
متن کاملAn integral representation of Boundary quantum
We study boundary quantum Knizhnik-Zamolodchikov equations associated with quantum affine symmetry Uq(ŝln). We consider the case where the deformation parameter q satisfies |q| = 1, and the difference parameter λ > 0. We give an integral representation of boundary quantum Knizhnik-Zamolodchikov equations. Our approach is based on the free field realizations of the vertex operators and the bound...
متن کاملBoundary Reflection Matrix for ade Affine Toda Field Theory
We present a complete set of conjectures for the exact boundary reflection matrix for ade affine Toda field theory defined on a half line with the Neumann boundary condition. [email protected] On leave of absence from Korea Advanced Institute of Science and Technology
متن کاملBoundary Reflection Matrix in Perturbative Quantum Field Theory
We study boundary reflection matrix for the quantum field theory defined on a half line using Feynman’s perturbation theory. The boundary reflection matrix can be extracted directly from the two-point correlation function. This enables us to determine the boundary reflection matrix for affine Toda field theory with the Neumann boundary condition modulo ‘a mysterious factor half’. jideog.kim@dur...
متن کاملParticle Reflection Amplitudes in a ( 1 ) n Toda Field Theories
We determine the exact quantum particle reflection amplitudes for all known vacua of a (1) n affine Toda theories on the half-line with integrable boundary conditions. (Real non-singular vacuum solutions are known for about half of all the classically integrable boundary conditions.) To be able to do this we use the fact that the particles can be identified with the analytically continued breat...
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 2008