English

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

High Energy Physics - Theory 2009-03-12 v2

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.

Keywords

Cite

@article{arxiv.0810.0691,
  title  = {Analytic three-loop Solutions for N=4 SYM Twist Operators},
  author = {Anatoly V. Kotikov and Adam Rej and Stefan Zieme},
  journal= {arXiv preprint arXiv:0810.0691},
  year   = {2009}
}

Comments

23 pages; v2: references added, appendix A improved

R2 v1 2026-06-21T11:27:12.452Z