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

1998; Elsevier BV; Volume: 516; Issue: 3 Linguagem: Inglês

10.1016/s0550-3213(98)00002-9

1873-1562

V.A. Fateev, Sergei L. Lukyanov, Alexander B. Zamolodchikov, A. B. Zamolodchikov,

Black Holes and Theoretical Physics

Exact expectation values of the fields e^{a\phi} 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 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 \Phi_{1,2} or Phi_{2,1}. Some results concerning the $\Phi_{1,5}$ perturbed minimal models are also presented.