Reflection Amplitudes of Boundary Toda Theories and Thermodynamic Bethe Ansatz
نویسندگان
چکیده
We study the ultraviolet asymptotics in An affine Toda theories with integrable boundary actions. The reflection amplitudes of non-affine Toda theories in the presence of conformal boundary actions have been obtained from the quantum mechanical reflections of the wave functional in the Weyl chamber and used for the quantization conditions and ground-state energies. We compare these results with the thermodynamic Bethe ansatz derived from both the bulk and (conjectured) boundary scattering amplitudes. The two independent approaches match very well and provide the non-perturbative checks of the boundary scattering amplitudes for Neumann and (+) boundary conditions. Our results also confirm the conjectured boundary vacuum energies and the duality conjecture between the two boundary conditions.
منابع مشابه
Reflection 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 کاملReflection Amplitudes of ADE Toda Theories and Thermodynamic Bethe Ansatz
We study the ultraviolet asymptotics in affine Toda theories. These models are considered as perturbed non-affine Toda theories. We calculate the reflection amplitudes, which relate different exponential fields with the same quantum numbers. Using these amplitudes we derive the quantization condition for the vacuum wave function, describing zero-mode dynamics, and calculate the UV asymptotics o...
متن کاملReeection Amplitudes of Ade Toda Theories and Thermodynamic Bethe Ansatz
We study the ultraviolet asymptotics in aane Toda theories. These models are considered as perturbed non-aane Toda theories. We calculate the reeection amplitudes, which relate diierent exponential elds with the same quantum numbers. Using these amplitudes we derive the quantization condition for the vacuum wave function, describing zero-mode dynamics, and calculate the UV asymptotics of the ee...
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 کاملNormalization 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 کامل