Flat space S matrix from the AdS/CFT correspondence?
Flat space S matrix from the AdS/CFT correspondence?
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AdS/CFT 对应的平面空间 S 矩阵？
DOI：
10.1103/physrevd.80.046008
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发表时间：
2009
影响因子：
5
通讯作者：
S. Giddings
中科院分区：
文献类型：
--
作者：
M. Gary;S. Giddings
我们调查恢复散装S矩阵的AdS/CFT对应，在大半径。最近有人认为，S矩阵的一些元素可以从CFT矩阵中读取，给定后者的特殊奇异结构，但留下了更一般的S矩阵元素的问题。由于在AdS/CFT中，必须在边界上指定数据，因此我们发现相应的体波包及其本地化属性存在一定的限制。特别是，我们已经发现，近似本地化有低能量的尾巴，和相应的幂律尾巴的位置空间。当它们的散射与散射理论中通常使用的“更尖锐”的波包相比时，人们发现了明显的差异，这表明可能缺乏通过这些波包的分辨率。我们也给参数，建设更尖锐的波包可能需要非微扰控制的边界理论，特别是N{sup 2}矩阵自由度。因此，这些观察结果提出了一些有趣的问题，即什么原则可以保证适当的控制，以及边界CFT如何准确地近似平坦空间S矩阵。
We investigate recovery of the bulk S matrix from the AdS/CFT correspondence, at large radius. It was recently argued that some of the elements of the S matrix might be read from CFT correlators, given a particular singularity structure of the latter, but leaving the question of more general S matrix elements. Since in AdS/CFT, data must be specified on the boundary, we find certain limitations on the corresponding bulk wave packets and on their localization properties. In particular, those we have found that approximately localize have low-energy tails, and corresponding power-law tails in position space. When their scattering is compared to that of 'sharper' wave packets typically used in scattering theory, one finds apparently significant differences, suggesting a possible lack of resolution via these wave packets. We also give arguments that construction of the sharper wave packets may require nonperturbative control of the boundary theory, and particularly of the N{sup 2} matrix degrees of freedom. These observations thus raise interesting questions about what principle would guarantee the appropriate control, and about how a boundary CFT can accurately approximate the flat space S matrix.