Nonlinear integral equations for the finite size effects of RSOS and vertex-models and related quantum field theories

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Abstract

Starting from critical RSOS lattice models with appropriate inhomogeneities, we derive two component nonlinear integral equations to describe the finite volume ground state energy of the massive φid,id,adj perturbation of the SU(2)k × SU(2)k′/SU(2)k+k′ coset models. When k′ → ∞ while the value of k is fixed, the equations correspond to the current-current perturbation of the SU(2)k WZW model. Then modifying one of the kernel functions of these equations, we propose two component nonlinear integral equations for the fractional supersymmetric sine-Gordon models. The lattice versions of our equations describe the finite size effects in the corresponding lattice models, namely in the critical RSOS (k,q) models, in the isotropic higher-spin vertex models, and in the anisotropic higher-spin vertex models. Numerical and analytical checks are also performed to confirm the correctness of our equations. These type of equations make it easier to treat the excited state problem.

Original languageEnglish
Pages (from-to)463-486
Number of pages24
JournalNuclear Physics B
Volume732
Issue number3
DOIs
Publication statusPublished - Jan 9 2006

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integral equations
apexes
kernel functions
perturbation
inhomogeneity
ground state
excitation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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Nonlinear integral equations for the finite size effects of RSOS and vertex-models and related quantum field theories. / Hegedűs, A.

In: Nuclear Physics B, Vol. 732, No. 3, 09.01.2006, p. 463-486.

Research output: Contribution to journalArticle

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