Dressing and Wrapping
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. Finally we present a conjecture for the exact four-loop anomalous dimension of the family of twist-two operators, which includes the Konishi field.
Cite
@article{arxiv.0704.3586,
title = {Dressing and Wrapping},
author = {A. V. Kotikov and L. N. Lipatov and A. Rej and M. Staudacher and V. N. Velizhanin},
journal= {arXiv preprint arXiv:0704.3586},
year = {2008}
}