Form factors, correlation functions and vertex operators in the eight-vertex model at reflectionless points

2004/10/08 by Yas-Hiro Quano, Quano, Yas-Hiro
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Quantum many-body systems #hep-th #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.hep-th/0410084

13 pages, Based on a talk given in the conference `Solvable Lattice Models 2004 -- Recent Progress in Solvable Lattice Models --', RIMS, Kyoto University, 23 July 2004, submitted to RIMS Kokyuroku

openalex publication_date 2004/10/08 · arxiv created 2004/10/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The eight-vertex model at the reflectionless points is considered on the basis of Smirnov's axiomatic approach. Integral formulae for form factors of the eight-vertex model can be obtained in terms of those of the eight-vertex SOS model, by using vertex-face transformation. The resulting formulae have very simple forms at the reflectionless points, and suggests us the explicit expressions of the type II vertex operators of the eight-vertex model.

Citations

• Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. I. Some fundamental eigenvectors
• Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. III. Eigenvectors of the transfer matrix and hamiltonian
• Eight-vertex model in lattice statistics and one-dimensional anisotropic heisenberg chain. II. Equivalence to a generalized ice-type lattice model

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