Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability

Abstract

We compute the contribution to the anomalous dimension of the twist-2 operators in N=4 SYM theory, which is proportional to the number of fermion loops inside Feynman diagrams or, formally, to the number of fermions. The result was obtained by the method based on the calculation of critical indices at the critical point by analogy with previous similar computations in scalar theories and in QCD. The obtained result is much simpler with compare to analogous results in QCD and almost satisfies the maximal transcedentality principle. A possible relation between the obtained result and integrability is discussed.

arXiv comment16 pages, 2 figures, typos corrected, reference added, details added

References in corpus (36)

• Gauge Theory Correlators from Non-Critical String Theory
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Review of AdS/CFT Integrability: An Overview
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• BFKL pomeron in the next-to-leading approximation
• Transcendentality and Crossing
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Bethe Ansatz for Quantum Strings
• Harmonic sums, Mellin transforms and Integrals
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Integrability for the Full Spectrum of Planar AdS/CFT
• Quantum spectral curve for AdS_5/CFT_4
• NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
• Anomalous dimensions of Wilson operators in N=4 SYM theory
• Revisiting parton evolution and the large-x limit
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Anomalous Dimension of Non-Singlet Wilson Operators at O(1/N_f) in Deep Inelastic Scattering
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• N=4 SUSY Yang--Mills: three loops made simple(r)
• Superconformal operators in N=4 super-Yang-Mills theory
• Non-Singlet Structure Functions at Three Loops: Fermionic Contributions
• Electron Mass Anomalous Dimension at O(1/N^2_f) in Quantum Electrodynamics
• Computation of quark mass anomalous dimension at O(1/N_f^2) in quantum chromodynamics
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Quark, Gluon and Ghost Anomalous Dimensions at O(1/N_f) in Quantum Chromodynamics
• Analytic solution of the multiloop Baxter equation
• Quark mass anomalous dimension at O(1/N_f^2) in QCD
• Algorithm for Computing the $\BETA$-Function of Quantum Electrodynamics in the Large N_f Expansion
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory