Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings

2005/02/28 by Rafael Hernandez, Rafael Hernández, Esperanza Lopez +5 · 61 citations
Mathematics · Physics and Astronomy · #Bethe ansatz #Black Holes and Theoretical Physics #Ferromagnetism #Limit (mathematics) #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Semiclassical physics #Spin (aerodynamics) #String (physics) #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/06/011

published in Journal of High Energy Physics 2005(06), 011 (Springer Nature) · 18 pages. Latex. v2: Misprints corrected, expanded discussions with comments on end point effects, and updated reference

arxiv created 2005/04/06 · openalex publication_date 2005/06/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

N=4 supersymmetric Yang-Mills operators carrying large charges are dual to semiclassical strings in AdS₅xS⁵. The spectrum of anomalous dimensions of very large operators has been calculated solving the Bethe ansatz equations in the thermodynamic limit, and matched to energies of string solitons. We have considered finite size corrections to the Bethe equations, that should correspond to quantum effects on the string side.

Citations

• Pulsating strings in warped AdS₆ x S⁴ geometry
• Bosonization and Strongly Correlated Systems
• The circular, elliptic three-spin string from the SU(3) spin chain
• A Novel Long Range Spin Chain and PlanarN=4 Super Yang-Mills
• Russian doll renormalization group and superconductivity
• On the exactly solvable pairing models for bosons
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Integrable Hamiltonian for Classical Strings on AdS5 × S5
• The algebraic curve of 1-loop planar N=4 SYM
• Circular and Folded Multi-Spin Strings in Spin Chain Sigma Models
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Algebraic Curve for the SO(6) Sector of AdS/CFT

Cited by

• The Algebraic Curve of Classical Superstrings on AdS 5×S 5
• QUANTUM FLUCTUATIONS OF ROTATING STRINGS IN AdS5 × S5