标题： 面向大自旋有效理论 II：$O(2)$模型在$d=4-ε$中 显示英文标题

标题： Towards Large-Spin Effective Theory II: $O(2)$ model in $d=4-ε$

摘要： 我们展示如何在自旋$J$作为函数的情况下，基于短距离和长距离效应的分离，在$4-d=\epsilon$展开中构造$O(2)$模型中领先扭率算符的全息有效理论，直到$O(\epsilon^2)$。我们得到该理论的哈密顿量，并表明它能够正确再现所有电荷$Q$和自旋$J$的领先扭率算符在$O(\epsilon^2)$处的维度。 全息哈密顿量由带电标量$\phi$、中性标量$s \sim \phi \phi^*$和一个“鬼”场$c$的体交换以及一个单独的局部体相互作用$(\phi \phi^*)^2$给出。我们分析了谱的各个方面，并在体描述的背景下讨论了它们的解释。 显示英文摘要

摘要： We show how to construct a holographic effective theory for the leading-twist operators in the $O(2)$ model in the $4-d=\epsilon$ expansion up to $O(\epsilon^2)$, based on the separation of short-distance and long-distance effects that arises as a function of spin $J$. We obtain the Hamiltonian of the theory and show that it correctly reproduces all the dimensions at $O(\epsilon^2)$ of the leading twist operators for all values of the charge $Q$ and spin $J$. The holographic Hamiltonian is given by the bulk exchange of a charged scalar $\phi$, neutral scalar $s \sim \phi \phi^*$, and a `ghost' field $c$, as well as a single local bulk interaction $(\phi \phi^*)^2$. We analyze various aspects of the spectrum and discuss their interpretation in light of the bulk description.