On S-Matrix factorization of the Landau-Lifshitz model

Abstract

We consider the three-particle scattering S-matrix for the Landau-Lifshitz model by directly computing the set of the Feynman diagrams up to the second order. We show, following the analogous computations for the non-linear Schrödinger model, that the three-particle S-matrix is factorizable in the first non-trivial order.

26 pages, references added, minor changes; version published in JHEP

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Cited by in corpus (8)

• Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings
• Quantum integrability of the Alday-Arutyunov-Frolov model
• On quantum integrability of the Landau-Lifshitz model
• On the equivalence theorem for integrable systems
• Thermodynamics of the quantum $su(1,1)$ Landau-Lifshitz model
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models
• An integrable deformed Landau-Lifshitz model with particle production?