Integrable aspects of the scaling q-state Potts models II: finite-size effects

Details Integrable aspects of the scaling q-state Potts models II: finite-size effects Integrable aspects of the scaling q-state Potts models II: finite-size effects

2002-08-27

arxiv.org/abs/hep-th/0208202v2

Nucl.Phys. B661 (2003) 464-513

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, many figures. Latex 2e, uses amssymb,graphicx. v2: typos corrected, references and further comments added

Scientific paper

10.1016/S0550-3213(03)00182-2

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 phi(21) and phi(12) perturbations of unitary minimal models. These are subjected to a variety of checks in the ultraviolet and infrared limits, and compared with results from a recently-proposed nonlinear integral equation. A nonlinear integral equation is also used to study the flows from tricritical to critical models, over the full range of q. Our results should also be of relevance to the study of the off-critical dilute A models in regimes 1 and 2.

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