简化的束缚态散射
Bound State Scattering Simplified
摘要：
在描述的AdS 5/CFT 4的对偶性的可积系统的散射矩阵的束缚态起着至关重要的作用：它最初是为了评估有限尺寸修正的平面光谱的能级/异常尺寸的热力学贝特分析，最近它再次出现在上下文中的胶合处方的六边形方法，以更高的点函数。在这项工作中，我们提出了一个简化形式的散射矩阵，我们使其极点结构的表现。我们发现了它的矩阵元素之间的一些新的关系，并给出了它的逆矩阵的一个显式形式。最后讨论了它的一些性质，包括交叉对称性。我们的研究结果将有望有助于计算有限尺寸效应，如由六边形的胶合所产生的复杂的和积分，以及有助于理解AdS 5/CFT 4散射矩阵的普遍特征。
英文摘要：
In the description of the AdS5/CFT4 duality by an integrable system the scattering matrix for bound states plays a crucial role: it was initially constructed for the evaluation of finite size corrections to the planar spectrum of energy levels/anomalous dimensions by the thermodynamic Bethe ansatz, and more recently it re-appeared in the context of the glueing prescription of the hexagon approach to higher-point functions. In this work we present a simplified form of this scattering matrix and we make its pole structure manifest. We find some new relations between its matrix elements and also present an explicit form for its inverse. We finally discuss some of its properties including crossing symmetry. Our results will hopefully be useful for computing finite-size effects such as the ones given by the complicated sum-integrals arising from the glueing of hexagons, as well as help towards understanding universal features of the AdS5/CFT4 scattering matrix.
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