论文标题
洛伦兹(Lorentzian)在非权利和古典限制中
Lorentzian inversion in non-relativistic and classical limits
论文作者
论文摘要
我们研究了简化限制的保形性引导程序工具,主要是大型操作员尺寸的极限和与广告中非偏见的物理学相对应的小型交叉比例。我们表明,T通道结构块在相互作用电位中给出了相关函数的经典相关函数的经典限制。我们使用Lorentzian反演公式来计算由于T通道交换而引起的异常维度,并与ADS中的时间无关扰动理论进行比较。这些计算包括不限于任何极限的新结果,包括一般维度中应力调整的异常维度。我们还研究了大型操作员尺寸和自旋的经典限制,其中洛伦兹倒置公式通过鞍点评估。最后,通过限制CFT反转公式,我们获得了非相关广告的新“ Lorentzian”反演公式。
We study tools of the conformal bootstrap in simplifying limits, primarily a limit of large operator dimensions and small cross-ratios corresponding to non-relativistic physics in AdS. We show that T-channel conformal blocks give the classical limit of correlation functions to linear order in an interaction potential. We use the Lorentzian inversion formula to compute anomalous dimensions due to T-channel exchanges and compare with time-independent perturbation theory in AdS. These calculations include new results not restricted to any limit, including anomalous dimensions from stress-tensor exchange in general dimension. We also study a classical limit of large operator dimension and spin, in which the Lorentzian inversion formula is evaluated by saddle-point. Finally, we obtain a new `Lorentzian' inversion formula for non-relativistic AdS by taking a limit of the CFT inversion formula.