The property of maximal transcendentality in the N=4 SYM

TL;DR

This paper investigates the universal anomalous dimension in N=4 SYM theory, revealing its maximal transcendentality property by deriving explicit expressions up to three loops from QCD results.

Contribution

It demonstrates the property of maximal transcendentality in the universal anomalous dimension of N=4 SYM, extending known results to three-loop order.

Findings

Explicit three-loop expressions for gamma_{uni}(j) in N=4 SYM

Extraction of maximal transcendentality contributions from QCD anomalous dimensions

Confirmation of the universality and structure of anomalous dimensions in supersymmetric theories

Abstract

We show results for the universal anomalous dimension gamma_{uni}(j) of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory in the first three orders of perturbation theory. These expressions are obtained by extracting the most complicated contributions from the corresponding anomalous dimensions in QCD.