arXiv 2201.095202022-01hep-thcond-mat.stat-mech

临界O(N)共形场论：方法与共形数据

The critical O(N) CFT: Methods and conformal data

Johan Henriksson

备注：: 88+13 pages, many tables, one ancillary data file. v2. Revised version, ancillary data file updated. v3. References updated, typos corrected. v4. Data file updated, typos corrected
DOI：: 10.1016/j.physrep.2022.12.002

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AI总结：

本报告综述了临界O(N)共形场论的方法和共形数据，提供了大量计算结果以支持研究。

摘要：

临界O(N)共形场论在时空维数2 < d < 4范围内是共形场论中最重要的例子之一，Ising共形场论在N=1，2 ≤ d < 4时是一个显著的特殊情况。除了众多物理应用外，它还经常作为基于共形对称性的新方法和技巧的实证平台。在微扰极限下——4-ε展开、大N展开和2+~ε展开——多年来已计算出大量共形数据。在本报告中，我们概述了临界O(N)共形场论，包括一些研究方法，并呈现了大量共形数据。这些数据从文献中提取，并补充了许多额外的计算所得的ε阶异常维数数据，通过附加数据文件提供。

英文摘要：

The critical $O(N)$ CFT in spacetime dimensions $2 < d < 4$ is one of the most important examples of a conformal field theory, with the Ising CFT at $N=1$, $2 \leq d < 4$, as a notable special case. Apart from numerous physical applications, it serves frequently as a concrete testing ground for new approaches and techniques based on conformal symmetry. In the perturbative limits - the $4-\varepsilon$ expansion, the large $N$ expansion and the $2+\tildeε$ expansion - a lot of conformal data have been computed over the years. In this report, we give an overview of the critical $O(N)$ CFT, including some methods to study it, and present a large collection of conformal data. The data, extracted from the literature and supplemented by many additional computations of order $\varepsilon$ anomalous dimensions, are made available through an ancillary data file.

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