Scaling function in AdS/CFT from the O(6) sigma model

Z. Bajnok, J. Balog, B. Basso, G. P. Korchemsky, L. Palla

Research output: Contribution to journalArticle

22 Citations (Scopus)

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 languageEnglish
Pages (from-to)438-462
Number of pages25
JournalNuclear Physics B
Volume811
Issue number3
DOIs
Publication statusPublished - Apr 21 2009

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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