Analytic three-loop Solutions for N=4 SYM Twist Operators
Anatoly V. Kotikov, Adam Rej, Stefan Zieme
TL;DR
This paper develops an analytic method to solve higher-order Baxter equations in N=4 SYM, confirming a three-loop anomalous dimension formula for twist operators and deriving QCD results through integrability.
Contribution
It introduces a new analytic approach to solve Baxter equations at three loops, validating conjectured anomalous dimensions and connecting supersymmetric gauge theory with QCD results.
Findings
Proof of the three-loop anomalous dimension for twist-two operators
Derivation of the maximally transcendental part of three-loop QCD results
Development of a method for higher-order Baxter equation solutions
Abstract
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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