Analytic three-loop Solutions for N=4 SYM Twist Operators

Details Analytic three-loop Solutions for N=4 SYM Twist Operators Analytic three-loop Solutions for N=4 SYM Twist Operators

2008-10-03

arxiv.org/abs/0810.0691v2

Nucl.Phys.B813:460-483,2009

Physics

High Energy Physics

High Energy Physics - Theory

23 pages; v2: references added, appendix A improved

Scientific paper

10.1016/j.nuclphysb.2008.12.022

We introduce a method to obtain the analytic solution of the higher-order Baxter equation for twist-two and twist-three operators of planar N=4 SYM. Our result proofs the conjectured formula for the three-loop anomalous dimension of twist-two operators. As such we derive the maximally transcendental part of the corresponding three-loop QCD result from the maximal supersymmetric gauge theory in four dimension purely by methods of integrability.

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