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

Vladimir Fateev; Sergei Lukyanov; Alexander Zamolodchikov; Alexei Zamolodchikov

doi:10.1016/S0550-3213(98)00002-9

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

Vladimir Fateev
, Sergei Lukyanov
, Alexander Zamolodchikov
, Alexei Zamolodchikov

Institute for Theoretical Physics

LUPM-UMR 5299, CNRS, Université Montpellier
Landau Inst. for Theoretical Physics
Cornell University

Research output: Contribution to journal › Article › peer-review

115 Scopus citations

Abstract

Exact expectation values of the fields e^aφ 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 language	English
Pages (from-to)	652-674
Number of pages	23
Journal	Nuclear Physics, Section B
Volume	516
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(98)00002-9
State	Published - Apr 20 1998

Keywords

Conformal perturbation theory
Integrable quantum field theory
Vacuum expectation values

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10.1016/S0550-3213(98)00002-9

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keywords = "Conformal perturbation theory, Integrable quantum field theory, Vacuum expectation values",

author = "Vladimir Fateev and Sergei Lukyanov and Alexander Zamolodchikov and Alexei Zamolodchikov",

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T1 - Expectation values of local fields in the Bullough-Dodd model and integrable perturbed conformal field theories

AU - Fateev, Vladimir

AU - Lukyanov, Sergei

AU - Zamolodchikov, Alexander

AU - Zamolodchikov, Alexei

PY - 1998/4/20

Y1 - 1998/4/20

N2 - 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 CFT perturbed by the operator Φ1,2 or Φ2,1. Some results concerning the Φ1,5 perturbed minimal models are also presented.

AB - 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 CFT perturbed by the operator Φ1,2 or Φ2,1. Some results concerning the Φ1,5 perturbed minimal models are also presented.

KW - Conformal perturbation theory

KW - Integrable quantum field theory

KW - Vacuum expectation values

UR - https://www.scopus.com/pages/publications/0032549918

U2 - 10.1016/S0550-3213(98)00002-9

DO - 10.1016/S0550-3213(98)00002-9

M3 - Article

AN - SCOPUS:0032549918

SN - 0550-3213

VL - 516

SP - 652

EP - 674

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

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

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Keywords

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