Three-loop universal anomalous dimension of the Wilson operators in N=4 Supersymmetric Yang-Mills theory
A.V. Kotikov (Dubna, JINR), L.N. Lipatov (St. Petersburg, INP), A.I., Onishchenko (Hamburg U., Inst. Theor. Phys. II, St. Petersburg, INP), V.N., Velizhanin (St. Petersburg, INP)
TL;DR
This paper calculates the three-loop universal anomalous dimension of Wilson twist-2 operators in N=4 Supersymmetric Yang-Mills theory, supporting the theory's integrability hypothesis within the AdS/CFT correspondence.
Contribution
It provides the first three-loop results for these anomalous dimensions, derived from QCD calculations, confirming integrability predictions.
Findings
Results agree with integrability hypotheses
Supports AdS/CFT correspondence predictions
Advances understanding of N=4 SYM operator dimensions
Abstract
We present results for the three-loop universal anomalous dimension of Wilson twist-2 operators in the N=4 Supersymmetric Yang-Mills theory. These expressions are obtained by extracting the most complicated contributions from the three-loop anomalous dimensions in QCD. This result is in an agreement with the hypothesis of the integrability of N=4 Supersymmetric Yang-Mills theory in the context of AdS/CFT-correspondence.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Particle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions