Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4SYM theory

被引：9

作者：

Kniehl, B. A. ^{[1
]}

Velizhanin, V. N. ^{[2
]}

机构：

[1] Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany

[2] Petersburg Nucl Phys Inst, NRC Kurchatov Inst, Theoret Phys Div, St Petersburg 188300, Russia

来源：

NUCLEAR PHYSICS B | 2021年 / 968卷

关键词：

DEEP INELASTIC-SCATTERING; DOUBLE-LOGARITHMIC ASYMPTOTICS; 3-LOOP SPLITTING FUNCTIONS; QUANTUM-FIELD THEORIES; FREE GAUGE-THEORIES; SUSY YANG-MILLS; WILSON OPERATORS; POMERANCHUK SINGULARITY; 2ND-ORDER CONTRIBUTIONS; DILATATION OPERATOR;

D O I：

10.1016/j.nuclphysb.2021.115429

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We compute the non-planar contribution to the universal anomalous dimension of twist-two operators in N = 4 supersymmetric Yang-Mills theory at four loops through Lorentz spin eighteen. Exploiting the results of this and our previous calculations along with recent analytic results for the cusp anomalous dimension and some expected analytic properties, we reconstruct a general expression valid for arbitrary Lorentz spin. We study various properties of this general result, such as its large-spin limit, its small-xlimit, and others. In particular, we present a prediction for the non-planar contribution to the anomalous dimension of the single-magnon operator in the beta-deformed version of the theory. (C) 2021 The Authors. Published by Elsevier B.V.

引用

页数：17

共 10 条

[1] Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
Marboe, Christian
Velizhanin, Vitaly
Volin, Dmytro
JOURNAL OF HIGH ENERGY PHYSICS, 2015, (07):
[2] Non-planar anomalous dimension of twist-2 operators: Higher moments at four loops
Velizhanin, V. N.
NUCLEAR PHYSICS B, 2014, 885 : 772 - 782
[3] The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: First moments in N=4 SYM and non-singlet QCD
Velizhanin, V. N.
NUCLEAR PHYSICS B, 2011, 846 (01) : 137 - 144
[4] The Anomalous Dimension of Twist-3 Operators in N=4 SYM Theory
Velizhanin, V. N.
MOSCOW UNIVERSITY PHYSICS BULLETIN, 2024, 79 (SUPPL1) : 495 - 499
[5] Nonplanar four-loop anomalous dimensions of twist-two operators in N=4 supersymmetric Yang-Mills theory: Higher moment, general result, and cusp anomalous dimension
Kniehl, B. A.
Velizhanin, V. N.
PHYSICAL REVIEW D, 2025, 111 (06)
[6] Fermionic contribution to the anomalous dimension of twist-2 operators in N =4 SYM theory, critical indices and integrability
Velizhanin, V. N.
PHYSICS LETTERS B, 2022, 835
[7] Nonplanar Contribution to the Four-Loop Universal Anomalous Dimension of the Twist-2 Wilson Operators in the N=4 Supersymmetric Yang-Mills Theory
Velizhanin, V. N.
JETP LETTERS, 2009, 89 (12) : 593 - 596
[8] Six-loop anomalous dimension of twist-two operators in planar N=4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=4 $$\end{document} SYM theory
Christian Marboe
Vitaly Velizhanin
Dmytro Volin
Journal of High Energy Physics, 2015 (7)
[9] The Anomalous Dimension of Twist-3 Operators in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{N}=4$$\end{document} SYM Theory
V. N. Velizhanin
Moscow University Physics Bulletin, 2024, 79 (Suppl 1) : 495 - 499
[10] Nonplanar contribution to the four-loop universal anomalous dimension of the twist-2 Wilson operators in the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 4 supersymmetric Yang-Mills theory
V. N. Velizhanin
JETP Letters, 2009, 89 (12) : 593 - 596

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