Five-Loop Anomalous Dimension of Twist-Two Operators

Details Five-Loop Anomalous Dimension of Twist-Two Operators Five-Loop Anomalous Dimension of Twist-Two Operators

2009-12-08

arxiv.org/abs/0912.1624v2

Physics

High Energy Physics

High Energy Physics - Theory

43 pages; v2: references added, minor changes in the text

Scientific paper

10.1016/j.nuclphysb.2010.01.008

In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar N=4 SYM theory. Firstly, using reciprocity, we derive the contribution of the asymptotic Bethe ansatz. Subsequently, we employ the first finite-size correction for the AdS5xS5 sigma model to determine the wrapping correction. The anomalous dimension found in this way passes all known tests provided by the NLO BFKL equation and double-logarithmic constraints. This result thus furnishes an infinite number of experimental data for testing the veracity of the recently proposed spectral equations for planar AdS/CFT correspondence.

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