Scaling Limit of RSOS Models and TBA Equations

Abstract

We study the scaling limits of the L-state Restricted Solid-on-Solid (RSOS) lattice models and their fusion hierarchies in the off-critical regimes. Starting with the elliptic functional equations of Klumper and Pearce, we derive the Thermodynamic Bethe Ansatz (TBA) equations of Zamolodchikov. Although this systematic approach, in principle, allows TBA equations to be derived for all the excited states we restrict our attention here to the largest eigenvalue or groundstate in Regimes III and IV. In Regime III the TBA equations are massive while in Regime IV there is massless scattering describing the renormalization group flow between distinct A_1^{(1)} coset conformal field theories. Regimes I and II, pertaining to Z_{L-1} parafermions, will be treated in a subsequent paper.

20 pages, no figures, LaTeX2e

References in corpus (3)

• Integrable Structure of Conformal Field Theory, Quantum KdV Theory and Thermodynamic Bethe Ansatz
• Integrable Quantum Field Theories in Finite Volume: Excited State Energies
• Lattice regularization of massive and massless integrable field theories

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• Excited TBA Equations II: Massless Flow from Tricritical to Critical Ising Model
• Finite-Volume Spectra of the Lee-Yang Model
• Lattice Approach to Excited TBA Boundary Flows: Tricritical Ising Model
• Integrals of motion from TBA and lattice-conformal dictionary
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• On the Integrable Structure of the Ising Model
• Fused RSOS Lattice Models as Higher-Level Nonunitary Minimal Cosets
• Integrable models on Rydberg atom chains
• Approaching the RSOS critical points through entanglement: one model for many universalities
• Lee-Yang Model in Presence of Defects
• Integrable Boundaries and Universal TBA Functional Equations
• Boundary reflection matrices of massive ${\varphi }_{1,3}$-perturbed unitary minimal models