QQ-system and non-linear integral equations for scattering amplitudes at strong coupling
QQ-system and non-linear integral equations for scattering amplitudes at strong coupling
复制标题
强耦合散射振幅的 QQ 系统和非线性积分方程
DOI：
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发表时间：
2020
影响因子：
5.4
通讯作者：
Hongfei Shu
中科院分区：
文献类型：
--
作者：
D. Fioravanti;M. Rossi;Hongfei Shu
我们给出了两组基本的泛函关系，它们描述了在NDocumentclass[12pt]{Minimum}usepackage{amsath}usepackage{wa ysym}usepackage{amsfonts}usepackage{amsbsy}usepackage{amsbsy}usepackage{mathsfs}usepackage{upgreek}setlong{oddsidemargin}{-69pt}中{Document}$$mathcal{N}$$end{Document}=4 SYM对偶到威尔逊循环(可能由非零扭转L扩展)中的强耦合极限：基本QQ系统和导出的TQ系统。我们利用TQ关系和Q-函数的主要性质(某些Q-算子的本征值)的知识来写出Bethe Anatz方程，即。一组(复杂的)非线性积分方程组，其解给出了强耦合振幅/威尔逊回路的精确值。此外，对于热力学Bethe Anatz的(“实”)非线性积分方程组，它们具有一些优势，并且仍然在解析和数值上再现了后者的结果。在任何情况下，这些新的泛函和积分方程式提供了一个更大的视角来讨论同样适用于NDocumentclass[12pt]{minimum}usepackage{amsath}usepackage{wa ysym}usepackage{amsfonts}usepackage{amsbsy}usepackage{mathsfs}usepackage{upgreek}setlong{oddsidemargin}{-69pt}的领域，例如{文档}$$mathcal{N}$$end{Document}=2 SYM BPS频谱。
We provide the two fundamental sets of functional relations which describe the strong coupling limit in AdS3 of scattering amplitudes in Ndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{N} $$end{document} = 4 SYM dual to Wilson loops (possibly extended by a non-zero twist l): the basic QQ-system and the derived TQ-system. We use the TQ relations and the knowledge of the main properties of the Q-function (eigenvalue of some Q-operator) to write the Bethe Ansatz equations, viz. a set of (‘complex’) non-linear-integral equations, whose solutions give exact values to the strong coupling amplitudes/Wilson loops. Moreover, they have some advantages with respect to the (‘real’) non-linear-integral equations of Thermodynamic Bethe Ansatz and still reproduce, both analytically and numerically, the findings coming from the latter. In any case, these new functional and integral equations give a larger perspective on the topic also applicable to the realm of Ndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{N} $$end{document} = 2 SYM BPS spectra.
AdS/CFT 可集成性回顾：概述
影响因子：
1.2
作者：
Beisert N
通讯作者：
Beisert N