We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 ($s$, $\phi$, and $t$). We obtain numerical predictions for low-twist OPE data in several charge sectors using the extremal functional method. We compare the results to analytical estimates using the Lorentzian inversion formula and a small amount of numerical input. We find agreement between the analytic and numerical predictions. We also give evidence that certain scalar operators lie on double-twist Regge trajectories and obtain estimates for the leading Regge intercepts of the O(2) model.

中文翻译：

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洛伦兹反演公式和 3d O(2) CFT 的频谱

我们使用电荷为 0、1 和 2（$s$、$\phi$ 和 $t$）的领先标量的四点函数来研究三维临界 O(2) 模型的频谱和 OPE 系数）。我们使用极值函数方法获得了几个电荷扇区中低扭曲 OPE 数据的数值预测。我们使用洛伦兹反演公式和少量数值输入将结果与分析估计进行比较。我们发现解析预测和数值预测之间是一致的。我们还提供证据表明某些标量算子位于双扭曲 Regge 轨迹上，并获得 O(2) 模型的主要 Regge 截距的估计值。