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

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arxiv 0810.0691 v2 pith:LCVYQALC submitted 2008-10-03 hep-th

Anatoly V. Kotikov , Adam Rej , Stefan Zieme This is my paper · ORCID
classification hep-th
keywords operatorsthree-loopanalyticdimensionresulttwist-twoanomalousbaxter
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling

    hep-th 2019-08 unverdicted

    A review of known results on DGLAP and BFKL equations in N=4 SYM, from weak-coupling perturbation theory to strong coupling via AdS/CFT and integrability, with no new derivations.

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