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

Vladimir Fateev, Sergei Lukyanov, Alexander Zamolodchikov, Alexei Zamolodchikov

Research output: Contribution to journalArticlepeer-review

109 Scopus citations

Abstract

Exact expectation values of the fields e 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 Φ1,2 or Φ2,1. Some results concerning the Φ1,5 perturbed minimal models are also presented.

Original languageEnglish (US)
Pages (from-to)652-674
Number of pages23
JournalNuclear Physics B
Volume516
Issue number3
DOIs
StatePublished - Apr 20 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • Conformal perturbation theory
  • Integrable quantum field theory
  • Vacuum expectation values

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