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  A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills

Beisert, N., Dippel, V., & Staudacher, M. (2004). A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills. Journal of High Energy Physics, 2004(7): 075. Retrieved from http://www.iop.org/EJ/abstract/1126-6708/2004/07/075.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-51A9-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-51AB-8
Genre: Journal Article

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 Creators:
Beisert, Niklas1, Author              
Dippel, Viginia2, Author
Staudacher, Matthias3, Author              
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24016              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24014              
3Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Published in print
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2004 (7) Sequence Number: 075 Start / End Page: - Identifier: -