Universal boundary reflection amplitudes

Universal boundary reflection amplitudes

For all affine Toda field theories we propose a new type of generic boundary bootstrap equations, which can be viewed as a very specific combination of elementary boundary bootstrap equations. These equations allow to construct generic solutions for the boundary reflection amplitudes, which are valid for theories related to all simple Lie algebras, that is simply laced and non-simply laced. We ...

Iniversal Boundary Reflection Amplitudes

Reflection Amplitudes of Boundary Toda Theories and Thermodynamic Bethe Ansatz

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...

Amplitudes Upon Reflection in Acoustical Experiments

This short note describes some simple acoustical wave experiments that explain the physics of reflection and transmission coefficient formulae for normal incidence P-waves. The experiments help us to understand the mathematical expressions for the reflection and transmission coefficients for displacement and pressure that are frequently used in seismology. Figure 1. The figure shows a boundary ...

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...