Ref Arxiv: hep-th/0103014
Ref. & Cit.: NASA ADS
Résumé:

We calculate normalization factors and reflection amplitudes in the W-invariant 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 statistical systems, like XY, Z_n-Ising and Ashkin-Teller models. The same results are used for the calculation of the asymptotics of cylindrically symmetric solutions of the classical Toda equations which appear in topological field theories. The integrable boundary Toda theories are considered. We derive boundary reflection amplitudes in non-affine case and boundary one point functions in affine Toda theories. The boundary ground state energies are cojectured. In the last section we describe the duality properties and calculate the reflection amplitudes in integrable deformed Toda theories.

Commentaires: MathPhys Odyssey 2001: Integrable Models and Beyond In Honor of Barry McCoy. "Odyssey 2001" will serve as an excellent reference text for mathematical physicists and graduate students in a number of areas.