Spin bits at two loops

2004/11/30 by S. Bellucci, Stefano Bellucci, Pierre-Yves Casteill +5
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Chaining #Computer science #Integrable system #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Perturbation (astronomy) #Physics #Physics of Superconductivity and Magnetism #Planar #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spin (aerodynamics) #Spin model #hep-th

paper · pdf · doi:10.1016/j.physletb.2004.12.053

published as Phys.Lett. B607 (2005) 180-187 · 10 pages, 3 figures, References and Acknowledgements added

arxiv created 2004/12/23 · openalex publication_date 2004/12/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the super-Yang–Mills/spin system map to construct the SU(2) spin bit model at the level of two loops in Yang–Mills perturbation theory. The model describes a spin system with chaining interaction. In the large N limit the model is shown to be reduced to the two loop planar integrable spin chain.

Citations

• On lightcone string field theory from Super Yang-Mills and holography
• Open Strings on Plane waves and their Yang-Mills duals
• On matrix models for anomalous dimensions of super-Yang–Mills theory
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• How Algebraic Bethe Ansatz works for integrable model
• A planar diagram theory for strong interactions
• The large N limit of superconformal field theories and supergravity