Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model

TL;DR

This paper calculates the three-loop universal anomalous dimension of Wilson operators in N=4 SYM, confirming predictions from BFKL and AdS/CFT, and advancing understanding of quantum corrections in supersymmetric gauge theories.

Contribution

It provides the first three-loop calculation of the universal anomalous dimension in N=4 SYM, connecting QCD results with supersymmetric theory predictions.

Findings

Singularities at j=1 match BFKL predictions.

Asymptotic behavior aligns with AdS/CFT expectations.

Results bridge weak and strong coupling regimes.

Abstract

We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills model. These results are obtained by extracting the most complicated contributions from the three loop non-singlet anomalous dimensions in QCD which were calculated recently. Their singularities at j=1 agree with the predictions obtained from the BFKL equation for N=4 SYM in the next-to-leading order. The asymptotics of universal anomalous dimension at large j is in an agreement with the expectations based on an interpolation between weak and strong coupling regimes in the framework of the AdS/CFT correspondence.