Critical properties of the Izergin-Korepin and solvable O(n) models and their related quantum spin chains

S. O. Warnaar*, M. T. Batchelor, B. Nienhuis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

74 Citations (Scopus)

Abstract

The central charge of the Izergin-Korepin model the corresponding quantum spin chain, and the O(n) model is calculated analytically via the Bethe ansatz. The calculation extends a technique recently developed for the Zamolodchikov-Fateev model. In addition critical exponents and the central charge for these models are obtained from numerical solutions of Bethe ansatz equations for finite systems. As a physical application the authors find the exponents v=12/23 and gamma =53/46 for the Theta -transition of polymers in two dimensions.

Original languageEnglish
Article number016
Pages (from-to)3077-3095
Number of pages19
JournalJournal of Physics A: Mathematical and General
Volume25
Issue number11
DOIs
Publication statusPublished - 1992

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