The determinant representation for quantum correlation functions of the sinh-Gordon model

1998/01/17 by V. E. Korepin, N. A. Slavnov · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum many-body systems #hep-th #math-ph #math.MP #nlin.SI #solv-int

paper · pdf · doi:10.1088/0305-4470/31/46/018

published as J.Phys.A31:9283-9295,1998 · 21 pages, Latex, no figures

arxiv created 1998/01/17 · openalex publication_date 1998/11/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We consider the quantum sinh-Gordon model in this paper. Form factors in this model were calculated by Mussardo and colleagues. We sum up all contributions of form factors and obtain a closed expression for a correlation function. This expression is a determinant of an integral operator. Similar determinant representations have been proven to be useful not only in the theory of correlation functions, but also in matrix models.

Citations

• Proofs of two conjectures related to the thermodynamic Bethe Ansatz
• Fredholm determinants and the mKdV/Sinh-Gordon hierarchies
• Fredholm determinants, differential equations and matrix models

Cited by

• Form factor expansion for thermal correlators
• The Form Factor Program: a Review and New Results - the Nested SU(N) Off-Shell Bethe Ansatz
• Form factors of the homogeneous sine-Gordon models