4 research outputs found
From Form Factors to Correlation Functions: The Ising Model
Using exact expressions for the Ising form factors, we give a new very simple
proof that the spin-spin and disorder-disorder correlation functions are
governed by the Painlev\'e III non linear differential equation. We also show
that the generating function of the correlation functions of the descendents of
the spin and disorder operators is a -soliton, , -function
of the sinh-Gordon hierarchy. We discuss a relation of our approach to
isomonodromy deformation problems, as well as further possible generalizations.Comment: SPhT-92-062; LPTHE-92-2
Integrability of Coupled Conformal Field Theories
The massive phase of two-layer integrable systems is studied by means of RSOS
restrictions of affine Toda theories. A general classification of all possible
integrable perturbations of coupled minimal models is pursued by an analysis of
the (extended) Dynkin diagrams. The models considered in most detail are
coupled minimal models which interpolate between magnetically coupled Ising
models and Heisenberg spin-ladders along the discrete series.Comment: 23 pages, four figure
Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
We approach the study of non--integrable models of two--dimensional quantum
field theory as perturbations of the integrable ones. By exploiting the
knowledge of the exact -matrix and Form Factors of the integrable field
theories we obtain the first order corrections to the mass ratios, the vacuum
energy density and the -matrix of the non-integrable theories. As
interesting applications of the formalism, we study the scaling region of the
Ising model in an external magnetic field at and the scaling
region around the minimal model . For these models, a remarkable
agreement is observed between the theoretical predictions and the data
extracted by a numerical diagonalization of their Hamiltonian.Comment: 60 pages, latex, 9 figure
One-point functions in integrable coupled minimal models
We propose exact vacuum expectation values of local fields for a quantum
group restriction of the affine Toda theory which corresponds to
two coupled minimal models. The central charge of the unperturbed models ranges
from to , where the perturbed models correspond to two magnetically
coupled Ising models and Heisenberg spin ladders, respectively. As an
application, in the massive phase we deduce the leading term of the asymptotics
of the two-point correlation functions.Comment: 18 pages, LaTeX with amstex, epsfig; v2: typos corrected and refs
added; v3: important modifs in the text (intro + last part), refs added; v4:
title, abstract and intro changed, energy-energy coupled 3-state Potts models
considered in ex. 4, version to appear in Nucl. Phys.