On S-matrix factorization of the Landau-Lifshitz model

2008/08/31 by A. Melikyan, A. Pinzul, Victor O. Rivelles +3 · 14 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computation #Computer science #Factorization #Feynman diagram #Mathematical physics #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Order (exchange) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #Set (abstract data type) #Statistical physics #Theoretical physics #cond-mat.str-el #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/1126-6708/2008/10/002

published in Journal of High Energy Physics 2008(10), 002 (Springer Nature) · 26 pages, references added, minor changes; version published in JHEP

arxiv created 2008/10/01 · openalex publication_date 2008/10/01 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Quantum Inverse Scattering Method and Correlation Functions
• Quantum Landau-Lifshitz model at four loops:1/Jand1/J2corrections to Berenstein-Maldacena-Nastase energies
• The algebraic curve of 1-loop planar N=4 SYM
• Semiclassical Bethe ansatz and AdS/CFT
• TheAdS5×S5superstring worldsheetSmatrix and crossing symmetry
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

Cited by

• Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models
• Quantum integrability of the Alday-Arutyunov-Frolov model