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Fateev, V.; Lukyanov, S.; Zamolodchikov, A.; Zamolodchikov, A.

Expectation values of local fields in the Bullough-Dodd model and integrable perturbed conformal field theories. (English) Zbl 0909.58074

Nucl. Phys., B 516, No. 3, 652-674 (1998).
Summary: Exact expectation values of the fields \(e^{a\varphi }\) 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 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.

Cited in 108 Documents

MSC:

58Z05 Applications of global analysis to the sciences
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T10 Model quantum field theories

Keywords:

local fields; integrable perturbed conformal field theories; Bullough-Dodd model; expectation values
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References:

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