Expectation values of local fields in the Bullough-Dodd model and integrable perturbed conformal field theories |
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| Affiliation: | 1. Laboratoire de Physique Mathématique, Université de Montpellier II, Pl. E. Bataillon, 34095 Montpellier, France;2. L.D. Landau Institute for Theoretical Physics, Chernogolovka, 142432, Russia;3. Newman Laboratory, Cornell University, Ithaca, NY 14853-5001, USA;4. Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, USA |
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| Abstract: | Exact expectation values of the fields eaϕ in the Bullough-Dodd model are derived by adopting the “reflection relations” which involve the reflection S-matrix of the Liouville theory, as well as a special analyticity assumption. Using this result we propose explicit expressions for expectation values of all primary operators in the c < 1 minimal CFr perturbed by the operator φ1,2 or φ2,1. Some results concerning the φ1,5 perturbed minimal models are also presented. |
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