All standard measures of bipartite entanglement in one-dimensional quantum field theories can be expressed in terms of correlators of branch point twist fields, here denoted by $\mathcal{T}$ and $\mathcal{T}^\dagger$. These are symmetry fields associated to cyclic permutation symmetry in a replica theory and having the smallest conformal dimension at the critical point. Recently, other twist fields (composite twist fields), typically of higher dimension, have been shown to play a role in the study of a new measure of entanglement known as the symmetry resolved entanglement entropy. In this paper we give an exact expression for the two-point function of a composite twist field that arises in the Ising field theory. In doing so we extend the techniques originally developed for the standard branch point twist field in free theories as well as an existing computation due to Horváth and Calabrese of the same two-point function which focused on the leading large-distance contribution. We study the ground state two-point function of the composite twist field $\mathcal{T}_μ$ and its conjugate $\mathcal{T}_μ^\dagger$. At criticality, this field can be defined as the leading field in the operator product expansion of $\mathcal{T}$ and the disorder field $μ$. We find a general formula for $\log \langle \mathcal{T}_μ(0) \mathcal{T}^\dagger_μ(r)\rangle$ and for (the derivative of) its analytic continuation to positive real replica numbers greater than 1. We check our formula for consistency by showing that at short distances it exactly reproduces the expected conformal dimension
Monte Carlo reconstruction of symmetry-twisted partition function ratios: the critical 3D Ising
Associate Laboratory LaPMET(LaPMET附属实验室);Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto(波尔图大学理学院物理与天文系);Centro de Física das Universidades do Minho e Porto (CF-UM-PT), Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto(米尼奥与波尔图大学物理中心(CF-UM-PT),波尔图大学理学院物理与天文系);Fields and Strings Laboratory, Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL)(洛桑联邦理工学院物理学院场与弦实验室)
Roaming form factors for the tricritical to critical Ising flow
本文研究了由Al. B. Zamolodchikov通过解析延拓的sinh-Gordon S-矩阵,侧重于重整化群流从三临界到临界伊辛模型。我们表明,适当定义的某些sinh-戈登形状因子的漫游限制是相同的形状因子的顺序和无序运营商的无质量流。作为一个副产品,我们还构造了一个半局域场的sinh-Gordon模型,它可以与紫外限制自由无质量玻色子理论中的扭曲场的形状因子。
Form factors of composite branch-point twist operators in the sinh-Gordon model on a multi-sheeted Riemann surface: semiclassical limit
Landau Institute for Theoretical Physics(朗道理论物理研究所);Kharkevich Institute for Information Transmission Problems(哈尔凯维奇信息传输问题研究所);Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana(卢布尔雅那大学数学与物理学院物理系)
Mapping twist fields to local operators via tensor networks
University of Bonn(波恩大学);Helmholtz Institute for Radiation and Nuclear Physics (HISKP)(赫姆霍兹辐射与核物理研究所);University of Turin(都灵大学);INFN, Turin division(意大利国家核物理研究所都灵分部);Barcelona Supercomputing Center(巴塞罗那超级计算中心);Instituto de Fisica Fundamental IFF-CSIC(西班牙高等科学研究理事会基础物理研究所);Quantum Advanced Research Center (QuARC), CSIC(西班牙高等科学研究理事会量子先进研究中心)