The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: First moments in N=4 SYM and non-singlet QCD

2010/08/31 by V. N. Velizhanin, V.N. Velizhanin · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Computer science #Dimension (graph theory) #Geometry #Loop (graph theory) #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Planar #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Singlet state #Twist #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2011.01.004

published as Nucl.Phys.B846:137-144,2011 · 9 pages, typos corrected

arxiv created 2011/01/06 · openalex publication_date 2011/01/13 · arxiv updated 2011/02/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present the result of a full direct component calculation for the first three even moments of the non-planar contribution into the four-loop anomalous dimension of twist-2 operators in maximally extended N=4 supersymmetric Yang-Mills theory. Obtained result complete our previous calculations in arXiv:0902.4646 and gives the usual result for the higher moments on the contrary to degenerate one in the case of Konishi. We have proposed a general form of zeta(5) and zeta(3) parts of the full non-planar anomalous dimension of twist-2 operators. As by product, we have obtained the first moment of the non-planar contribution to the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD.

Citations

• The non-planar contribution to the four-loop universal anomalous dimension in N=4 Supersymmetric Yang-Mills theory
• The evolution of parton distributions beyond leading order: the singlet case
• New features of FORM
• Anomalous dimensions of twist-2 conformal operators in supersymmetric Wess-Zumino model
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• A Novel Long Range Spin Chain and PlanarN=4 Super Yang-Mills
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• Supersymmetry, supergravity theories and the dual spinor model
• Revisiting parton evolution and the large-x limit
• Four loop twist two, BFKL, wrapping and strings
• Superconformal constraints for QCD conformal anomalies
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
• Four-loop dressing phase ofN=4super-Yang-Mills theory
• The large N limit of superconformal field theories and supergravity

Cited by

• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops