### Abstract

Asymptotic behavior of the anomalous dimensions of Wilson operators with high spin and twist is governed in planar N = 4 SYM theory by the scaling function which coincides at strong coupling with the energy density of a two-dimensional bosonic O(6) sigma model. We calculate this function by combining the two-loop correction to the energy density for the O (n) model with two-loop correction to the mass gap determined by the all-loop Bethe ansatz in N = 4 SYM theory. The result is in agreement with the prediction coming from the thermodynamical limit of the quantum string Bethe ansatz equations, but disagrees with the two-loop stringy corrections to the folded spinning string solution.

Original language | English |
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Pages (from-to) | 438-462 |

Number of pages | 25 |

Journal | Nuclear Physics B |

Volume | 811 |

Issue number | 3 |

DOIs | |

Publication status | Published - Apr 21 2009 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

*Nuclear Physics B*,

*811*(3), 438-462. https://doi.org/10.1016/j.nuclphysb.2008.11.023