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ID: 205038.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
Authors:Staudacher, Matthias; Beisert, Niklas; Dippel, Viginia
Language:English
Date of Publication (YYYY-MM-DD):2004
Title of Journal:Journal of High Energy Physics
Volume:07
Sequence Number of Article:075
Review Status:not specified
Audience:Not Specified
Abstract / Description:We probe the long-range spin chain approach to planar = 4 gauge theory at high loop order. A recently employed hyperbolic spin chain invented by Inozemtsev is suitable for the (2) subsector of the state space up to three loops, but ceases to exhibit the conjectured thermodynamic scaling properties at higher orders. We indicate how this may be bypassed while nevertheless preserving integrability, and suggest the corresponding all-loop asymptotic Bethe ansatz. We also propose the local part of the all-loop gauge transfer matrix, leading to conjectures for the asymptotically exact formulae for all local commuting charges. The ansatz is finally shown to be related to a standard inhomogeneous spin chain. A comparison of our ansatz to semi-classical string theory uncovers a detailed, non-perturbative agreement between the corresponding expressions for the infinite tower of local charge densities. However, the respective Bethe equations differ slightly, and we end by refining and elaborating a previously proposed possible explanation for this disagreement.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:URL:http://www.iop.org/EJ/abstract/1126-6708/2004/07/0...
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