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  Dressing and Wrapping

Kotikov, A. V., Lipatov, L. N., Rej, A., Staudacher, M., & Velizhanin, V. N. (2007). Dressing and Wrapping. Journal of Statistical Mechanics: Theory and Experiment, 10: P10003. doi:10.1088/1742-5468/2007/10/P10003.

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0704.3586v1.pdf (Preprint), 233KB
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Kotikov, A. V., Author
Lipatov, L. N., Author
Rej, Adam1, Author
Staudacher, Matthias1, Author           
Velizhanin, V. N., Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We prove that the validity of the recently proposed dressed, asymptotic Bethe ansatz for the planar AdS/CFT system is indeed limited at weak coupling by operator wrapping effects. This is done by comparing the Bethe ansatz predictions for the four-loop anomalous dimension of finite-spin twist-two operators to BFKL constraints from high-energy scattering amplitudes in N=4 gauge theory. We find disagreement, which means that the ansatz breaks down for length-two operators at four-loop order. Our method supplies precision tools for multiple all-loop tests of the veracity of any yet-to-be constructed set of exact spectral equations.

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 Dates: 2007-10
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: eDoc: 317192
DOI: 10.1088/1742-5468/2007/10/P10003
Other: arXiv:0704.3586
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Title: Journal of Statistical Mechanics: Theory and Experiment
Source Genre: Journal
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Publ. Info: Bristol, England : Institute of Physics Publishing
Pages: - Volume / Issue: 10 Sequence Number: P10003 Start / End Page: - Identifier: Other: 111076098244006
Other: 1742-5468