Four loop twist two, BFKL, wrapping and strings

2008/11/30 by Zoltán Bajnok, Zoltan Bajnok, Romuald A. Janik +2
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2009.02.005

published as Nucl.Phys.B816:376-398,2009 · 34 pages, 1 figure; v3: typos fixed, references added; v4: references added

arxiv created 2008/12/16 · openalex publication_date 2009/02/11 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The anomalous dimensions of twist two operators have to satisfy certain consistency requirements derived from BFKL. For N=4 SYM it was shown that at four loops, the anomalous dimensions derived from the all-loop asymptotic Bethe ansatz do not pass this test. In this paper we obtain the remaining wrapping part of these anomalous dimensions from string theory and show that these contributions exactly cure the problem and lead to agreement with both LO and NLO BFKL expectations.

Citations

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