Field analogue of the Ruijsenaars-Schneider model
From MaRDI portal
Publication:2104588
DOI10.1007/JHEP07(2022)023MaRDI QIDQ2104588
Publication date: 7 December 2022
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.01697
Related Items (6)
Elliptic generalisation of integrable q-deformed anisotropic Haldane–Shastry long-range spin chain ⋮ On integrability of the deformed Ruijsenaars-Schneider system ⋮ Anisotropic spin generalization of elliptic Macdonald-Ruijsenaars operators and \(R\)-matrix identities ⋮ Elliptic solutions of the Toda lattice with constraint of type B and deformed Ruijsenaars-Schneider system ⋮ Elliptic families of solutions to constrained Toda hierarchy ⋮ Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solitons and infinite dimensional Lie algebras
- Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- Quadratic algebras related to elliptic curves
- Some algebraic structures connected with the Yang-Baxter equation
- A new class of integrable systems and its relation to solitons
- Solvable lattice models whose states are dominant integral weights of \(A^{(1)}_{n-1}\)
- Etiology of IRF models
- Poisson structure of a periodic classical XYZ-chain
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- Algebraic independence of the values of elliptic function at algebraic points. Elliptic analogue of the Lindemann-Weierstrass theorem
- Three integrable Hamiltonian systems connected with isospectral deformations
- Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line
- Elliptic solutions to difference nonlinear equations and related many-body problems
- Ruijsenaars' commuting difference operators as commuting transfer matrices
- On trigonometric intertwining vectors and non-dynamical \(R\)-matrix for the Ruijsenaars model
- Hitchin systems -- symplectic Hecke correspondence and two-dimensional version
- Dynamical symmetry of integrable quantum systems
- Elliptic families of solutions of the Kadomtsev-Petviashvili equation, and the field analogue of the elliptic Calogero-Moser system
- Vector bundles and Lax equations on algebraic curves
- Integrable time-discretization of the Ruijsenaars-Schneider model
- Trigonometric integrable tops from solutions of associative Yang-Baxter equation
- Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations
- Generalized model of interacting integrable tops
- Calogero-Moser model and \(R\)-matrix identities
- Elliptic solutions to integrable nonlinear equations and many-body systems
- Partition function of the eight-vertex lattice model
- GENERALIZED SKLYANIN ALGEBRA AND INTEGRABLE LATTICE MODELS
- Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices
- Theta functions and non-linear equations
- AN $A_{n - 1}^{\left( 1 \right)} $ FAMILY OF SOLVABLE LATTICE MODELS
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
- Dynamicalr-matrix for the elliptic Ruijsenaars - Schneider system
- Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra
- On elliptic Lax systems on the lattice and a compound theorem for hyperdeterminants
- On factorized Lax pairs for classical many-body integrable systems
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
- \(R\)-matrix quantization of the elliptic Ruijsenaars-Schneider model
- Solutions of the classical Yang-Baxter equation for simple Lie algebras
- Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.
This page was built for publication: Field analogue of the Ruijsenaars-Schneider model