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  Nesting and Dressing

Rej, A., Staudacher, M., & Zieme, S. (2007). Nesting and Dressing. Journal of Statatistical Mechanics, 08: P08006. doi:10.1088/1742-5468/2007/08/P08006.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4997-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4999-D
Genre: Journal Article

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 Creators:
Rej, Adam1, Author
Staudacher, Matthias1, Author              
Zieme, Stefan1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We compute the anomalous dimensions of field strength operators Tr F^L in N=4 SYM from an asymptotic nested Bethe ansatz to all-loop order. Starting from the exact solution of the one-loop problem at arbitrary L, we derive a single effective integral equation for the thermodynamic limit of these dimensions. We also include the recently proposed phase factor for the S-matrix of the planar AdS/CFT system. The terms in the effective equation corresponding to, respectively, the nesting and the dressing are structurally very similar. This hints at the physical origin of the dressing phase, which we conjecture to arise from the hidden presence of infinitely many auxiliary Bethe roots describing a non-trivial "filled" structure of the theory's BPS vacuum. We finally show that the mechanism for creating effective nesting/dressing kernels is quite generic by also deriving the integral equation for the all-loop dimension of a certain one-loop so(6) singlet state.

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 Dates: 2007
 Publication Status: Published in print
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 Identifiers: eDoc: 317190
Other: arXiv:hep-th/0702151
DOI: 10.1088/1742-5468/2007/08/P08006
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Title: Journal of Statatistical Mechanics
Source Genre: Journal
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Pages: - Volume / Issue: 08 Sequence Number: P08006 Start / End Page: - Identifier: -