论文标题
Lorentzian倒置公式和3D O(2)CFT的光谱
The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT
论文作者
论文摘要
我们使用带电0、1和2($ s $,$ ϕ $和$ t $)的四维临界O(2)模型的频谱和OPE系数。我们使用极端功能方法获得了多个电荷扇区中低扭转OPE数据的数值预测。我们将结果与使用Lorentzian反演公式和少量数值输入的分析估计进行了比较。我们发现分析和数值预测之间的一致性。我们还提供了证据表明,某些标量运算符位于双扭转轨迹上,并获得O(2)模型的领先雷格截距的估计。
We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 ($s$, $ϕ$, 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.