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

Dorey, Patrick, Pocklington, Andrew ORCID: https://orcid.org/0000-0002-2137-0452 and Tateo, Roberto 2003. Integrable aspects of the scaling q-state Potts models II: finite-size effects. Nuclear Physics B 661 (3) , pp. 464-513. 10.1016/S0550-3213(03)00182-2

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Abstract

We continue our discussion of the q-state Potts models for q less than or equal to 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 non-linear integral equation. A non-linear 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. (C) 2003 Elsevier Science B.V. All rights reserved.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	MRC Centre for Neuropsychiatric Genetics and Genomics (CNGG) Medicine
Subjects:	Q Science > QC Physics
Publisher:	Elsevier
ISSN:	0550-3213
Last Modified:	31 Oct 2022 09:42
URI:	https://orca.cardiff.ac.uk/id/eprint/82146

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