黑洞、重态、相移和反常维数
Black Holes, Heavy States, Phase Shift and Anomalous Dimensions
摘要：
我们计算了在渐近AdS黑洞背景中运动的高能粒子的相移。在对偶CFT中，相移与Regge极限中的四点函数有关。黑洞质量被转化为一个重算子的共形维数与中心荷的比值。这个比值是一个有用的膨胀参数;它的幂度量了中间通道中出现的应力张量的数量。我们用共形Regge理论计算了任意维全息CFT中相移的主导项，并观察到与引力结果完全一致。在具有大中心荷的二维CFT中，重-重-轻-轻Virasoro真空块再现了膨胀参数中所有阶的重力相移。我们表明，领先的顺序相移有关的异常尺寸的某些双迹运营商和验证这一协议使用已知的结果为后者。我们还对这些反常维度进行了单独的重力计算，并将其扩展到二阶展开参数，并与相移展开进行了比较。
英文摘要：
We compute the phase shift of a highly energetic particle traveling in the background of an asymptotically AdS black hole. In the dual CFT, the phase shift is related to a four point function in the Regge limit. The black hole mass is translated to the ratio between the conformal dimension of a heavy operator and the central charge. This ratio serves as a useful expansion parameter; its power measures the number of stress tensors appearing in the intermediate channel. We compute the leading term in the phase shift in a holographic CFT of arbitrary dimensionality using Conformal Regge Theory and observe complete agreement with the gravity result. In a two-dimensional CFT with a large central charge the heavy-heavy-light-light Virasoro vacuum block reproduces the gravity phase shift to all orders in the expansion parameter. We show that the leading order phase shift is related to the anomalous dimensions of certain double trace operators and verify this agreement using known results for the latter. We also perform a separate gravity calculation of these anomalous dimensions to second order in the expansion parameter and compare with the phase shift expansion.
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