Integrable aspects of the scaling q-state Potts models I: bound states and bootstrap closure
نویسندگان
چکیده
We discuss the q-state Potts models for q ≤ 4, in the scaling regimes close to their critical or tricritical points. Starting from the kink S-matrix elements proposed by Chim and Zamolodchikov, the bootstrap is closed for the scaling regions of all critical points, and for the tricritical points when 4 > q ≥ 2. We also note a curious appearance of the extended last line of Freudenthal’s magic square in connection with the Potts models. e-mail: [email protected] e-mail: [email protected]
منابع مشابه
Finite-size Corrections for Integrable Systems and Conformal Properties of Six-vertex Models
Statistical systems at second-order phase-transition points should exhibit conformal invariance at long distances. Their conformal properties can be analysed by investigating finite-size scaling behaviour. For integrable lattice models in two dimensions, methods are proposed to calculate, from the Bethe ansatz solution, the conformal anomaly c and all scaling dimensions. As an application resul...
متن کاملFirst order phase transitions and integrable field theory . The dilute q - state Potts model
First order phase transitions and integrable field theory. The dilute q-state Potts model Abstract We consider the two-dimensional dilute q-state Potts model on its first order phase transition surface for 0 < q ≤ 4. After determining the exact scattering theory which describes the scaling limit, we compute the two-kink form factors of the dilution, thermal and spin operators. They provide an a...
متن کاملIntegrable aspects of the scaling q-state Potts models II: finite-size effects
We continue our discussion of the q-state Potts models for q ≤ 4, in the scaling regimes close to their critical and tricritical points. In a previous paper, the spectrum and full S-matrix of the models on an infinite line were elucidated; here, we consider finite-size behaviour. TBA equations are proposed for all cases related to φ21 and φ12 perturbations of unitary minimal models. These are s...
متن کاملCorrelators in integrable quantum field theory . The scaling RSOS models
The study of the scaling limit of two-dimensional models of statistical mechanics within the framework of integrable field theory is illustrated through the example of the RSOS models. Starting from the exact description of regime III in terms of colliding particles, we compute the correlation functions of the thermal, ϕ 1,2 and (for some cases) spin operators in the two-particle approximation....
متن کاملLight - cone lattices and the exact solution of chiral fermion and sigma models
A rich set of integrable two-dimensional quantum field theories are obtained from integrable lattice vertex models with q states per bound ( q 3 2) in the scaling limit by a generalisation of the light-cone lattice approach. Chiral fermion models with any simple Lie group of symmetry arise in this way (for finite q ) as well as bosonic models like the principal chiral model (for q = cc). The Ha...
متن کامل