论文标题
2+1d Ising CFT中的领先轨迹
The leading trajectory in the 2+1D Ising CFT
论文作者
论文摘要
我们通过使用Lorentzian倒置公式在分析上继续其频谱来间接研究2+1维ISing CFT中肿块的散射。我们发现证据表明该模型的截距低于统一：$ j _*\约0.8 $，表明散射是渐近透明的，对应于负Lyapunov指数。我们用作输入从数值共形引导程序获得的精确频谱。我们表明，截短的频谱允许反转公式将旋转两个应力张量的属性重现至$ 10^{ - 4} $精度，我们解决了该模型的旋转0操作员是否在regge轨迹上的问题。大N O（N）模型中的分析进一步支持了这一假设。最后，我们表明，重型运营商的异常尺寸随$（J _*-1）$控制的速率而降低，这意味着重型频谱的规律性。
We study the scattering of lumps in the 2+1-dimensional Ising CFT, indirectly, by analytically continuing its spectrum using the Lorentzian inversion formula. We find evidence that the intercept of the model is below unity: $j_*\approx 0.8$, indicating that scattering is asymptotically transparent corresponding to a negative Lyapunov exponent. We use as input the precise spectrum obtained from the numerical conformal bootstrap. We show that the truncated spectrum allows the inversion formula to reproduce the properties of the spin-two stress tensor to $10^{-4}$ accuracy and we address the question of whether the spin-0 operators of the model lie on Regge trajectories. This hypothesis is further supported by analytics in the large-N O(N) model. Finally, we show that anomalous dimensions of heavy operators decrease with energy at a rate controlled by $(j_*-1)$, implying regularity of the heavy spectrum.
