论文标题
LightCone共形截断入门：CFT数据的QFT动力学
Introduction to Lightcone Conformal Truncation: QFT Dynamics from CFT Data
论文作者
论文摘要
我们既回顾和增强轻酮保形截断（LCT）方法。 LCT是一种用于计算无限体积QFT动力学数量的哈密顿截断方法。该文档是一本独立的教学介绍和LCT的“操作方法”手册。我们专注于具有紫外线描述作为包含标量，费米子和仪表字段的免费CFT的2D QFT，为LCT应用提供了丰富的起始领域。在途中，我们开发了几种新技术和创新，可大大提高LCT的效率和适用性。其中包括开发用于计算哈密顿矩阵元素的CFT径向量化方法，以及一种避免状态依赖性反对和维持手性对称性的新的susy启发方式。我们带领读者完成自己的基本LCT代码的构建，足以容纳小截断截止。我们还提供了一组更复杂和全面的Mathematica软件包和演示，可用于研究各种2D模型。我们将指导读者通过几个示例，并说明如何获得QFT可观察物，例如光谱密度和Zamolodchikov $ c $ unction。考虑的特定模型是有限的$ N_C $ QCD，标量$ ϕ^4 $理论和Yukawa理论。
We both review and augment the lightcone conformal truncation (LCT) method. LCT is a Hamiltonian truncation method for calculating dynamical quantities in QFT in infinite volume. This document is a self-contained, pedagogical introduction and "how-to" manual for LCT. We focus on 2D QFTs which have UV descriptions as free CFTs containing scalars, fermions, and gauge fields, providing a rich starting arena for LCT applications. Along our way, we develop several new techniques and innovations that greatly enhance the efficiency and applicability of LCT. These include the development of CFT radial quantization methods for computing Hamiltonian matrix elements and a new SUSY-inspired way of avoiding state-dependent counterterms and maintaining chiral symmetry. We walk readers through the construction of their own basic LCT code, sufficient for small truncation cutoffs. We also provide a more sophisticated and comprehensive set of Mathematica packages and demonstrations that can be used to study a variety of 2D models. We guide the reader through these packages with several examples and illustrate how to obtain QFT observables, such as spectral densities and the Zamolodchikov $C$-function. Specific models considered are finite $N_c$ QCD, scalar $ϕ^4$ theory, and Yukawa theory.
