N = 4超对称杨-米尔斯理论中四圈的非平面尖点和超越反常维数

Nonplanar Cusp and Transcendental Anomalous Dimension at Four Loops in N=4 Supersymmetric Yang-Mills Theory.

作者信息

Kniehl B A, Velizhanin V N

机构信息

II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany.

Theoretical Physics Division, NRC "Kurchatov Institute," Petersburg Nuclear Physics Institute, Orlova Roscha, Gatchina, 188300 St. Petersburg, Russia.

出版信息

Phys Rev Lett. 2021 Feb 12;126(6):061603. doi: 10.1103/PhysRevLett.126.061603.

DOI:10.1103/PhysRevLett.126.061603

PMID:33635690

Abstract

We compute the nonplanar contribution to the universal anomalous dimension of the SU(4)-singlet twist-two operators in N=4 supersymmetric Yang-Mills theory at four loops through Lorentz spin 18. From this, we numerically evaluate the nonplanar contribution to the four-loop lightlike cusp anomalous dimension and derive the transcendental ζ_{3} and ζ_{5} parts of the universal anomalous dimension for arbitrary Lorentz spin in analytic form. As for the lightlike cusp anomalous dimension and the ζ_{5} part of the universal anomalous dimension, we confirm previous results.

摘要

我们通过洛伦兹自旋18计算了N = 4超对称杨-米尔斯理论中四圈时SU(4)单态扭转-2算符的通用反常维度的非平面贡献。由此，我们对四圈类光尖点反常维度的非平面贡献进行了数值评估，并以解析形式导出了任意洛伦兹自旋的通用反常维度的超越数ζ₃和ζ₅部分。至于类光尖点反常维度和通用反常维度的ζ₅部分，我们证实了先前的结果。