Differential approach to on-shell scalar products in six-vertex models

2015/05/26 by W. Galléas, Galleas, W., Jules Lamers +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1505.06870

openalex publication_date 2015/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we obtain hierarchies of partial differential equations describing on-shell scalar products for two types of six-vertex models. More precisely, six-vertex models with two different diagonal boundary conditions are considered: the case with boundary twists and the case with open boundary conditions. Solutions and properties of our partial differential equations are also discussed.

Citations

• Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region
• Current algebra and Wess-Zumino model in two dimensions
• Boundary conditions for integrable quantum systems

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