Five-loop anomalous dimension of twist-two operators

2009/12/31 by Tomasz Łukowski, T. Lukowski, A. Rej +3 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Black Holes and Theoretical Physics #Combinatorics #Computer science #Dimension (graph theory) #Geometry #Logarithm #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Planar #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Reciprocity (cultural anthropology) #Sigma #Twist #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2010.01.008

published as Nucl.Phys.B831:105-132,2010 · 43 pages; v2: references added, minor changes in the text

openalex publication_date 2010/01/15 · arxiv created 2010/02/16 · arxiv updated 2014/11/20 · openalex created_date 2017/03/16 · openalex updated_date 2026/08/05

Abstract

In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar N=4 SYM theory. Firstly, using reciprocity, we derive the contribution of the asymptotic Bethe ansatz. Subsequently, we employ the first finite-size correction for the AdS5xS5 sigma model to determine the wrapping correction. The anomalous dimension found in this way passes all known tests provided by the NLO BFKL equation and double-logarithmic constraints. This result thus furnishes an infinite number of experimental data for testing the veracity of the recently proposed spectral equations for planar AdS/CFT correspondence.

Citations

• New features of FORM
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Integrability of Three-Particle Evolution Equations in QCD
• High energy QCD as a completely integrable model
• Revisiting parton evolution and the large-x limit
• Four loop twist two, BFKL, wrapping and strings
• HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
• Analytic continuation of the Mellin moments of deep inelastic structure functions
• BFKL pomeron in the next-to-leading approximation
• TheAdS5×S5superstring worldsheetSmatrix and crossing symmetry
• NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
• Harmonic Polylogarithms

Cited by

• Wilson loop OPE, analytic continuation and multi-Regge limit
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Review of AdS/CFT Integrability, Chapter III.5: Lüscher Corrections