Expectation values of local fields in Bullough-Dodd model and integrable perturbed conformal field theories

Abstract

Exact expectation values of the fields e^{aϕ} in the Bullough-Dodd model are derived by adopting the ``reflection relations&#39;&#39; which involve the reflection S-matrix of the Liouville theory, as well as special analyticity assumption. Using this result we propose explicit expressions for expectation values of all primary operators in the c<1 minimal CFT perturbed by the operator Φ_{1,2} or Phi_{2,1}. Some results concerning the $Φ_{1,5}$ perturbed minimal models are also presented.