Expectation values of local fields in Bullough-Dodd model and integrable perturbed conformal field theories
نویسندگان
چکیده
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 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.
منابع مشابه
Form Factors of Exponential Operators and Exact Wave Function Renormalization Constant in the Bullough–Dodd Model
We compute the form factors of exponential operators e in the two–dimensional integrable Bullough– Dodd model (a (2) 2 Affine Toda Field Theory). These form factors are selected among the solutions of general nonderivative scalar operators by their asymptotic cluster property. Through analitical continuation to complex values of the coupling constant these solutions permit to compute the form f...
متن کاملThe Bullough - Dodd model coupled to matter fields
The Bullough-Dodd model is an important two dimensional integrable field theory which finds applications in physics and geometry. We consider a conformally invariant extension of it, and study its integrability properties using a zero curvature condition based on the twisted Kac-Moody algebra A (2) 2 . The one and two-soliton solutions as well as the breathers are constructed explicitly . We al...
متن کاملNormalization Factors, Reflection Amplitudes and Integrable Systems
We calculate normalization factors and reflection amplitudes in the Winvariant conformal quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed conformal field theories. We apply these results to evaluate explicitly the expectation values of order parameters in the field theories associated with statis...
متن کاملAngular quantization and form-factors in massive integrable models
We discuss an application of the method of the angular quantization to reconstruction of form-factors of local fields in massive integrable models. The general formalism is illustrated with examples of the Klein-Gordon, sinh-Gordon and Bullough-Dodd models. For the latter two models the angular quantization approach makes it possible to obtain free field representations for form-factors of expo...
متن کاملForm Factors of the Elementary Field in the Bullough - Dodd
We derive the recursive equations for the form factors of the local hermitian operators in the Bullough-Dodd model. At the self-dual point of the theory, the form factors of the fundamental field of the Bullough-Dodd model are equal to those of the fundamental field of the Sinh-Gordon model at a specific value of the coupling constant. 1 The Bullough-Dodd Model The Bullough-Dodd (BD) model [1, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008