论文标题
边界散射简化
Bound State Scattering Simplified
论文作者
论文摘要
在可整合系统对ADS5/CFT4二元性的描述中，边界状态的散射矩阵起着至关重要的作用：它最初是为评估有限尺寸校正对能量水平/异常尺寸的平面频谱的评估而构建的，而热力学的贝丝又有贝丝·阿萨斯（Bethe bethe Ansatz），以及最近对绘制效果的范围进行了更高的范围。在这项工作中，我们提出了这种散射矩阵的简化形式，并使其极点结构体现出来。我们在其矩阵元素之间找到了一些新的关系，并为其逆向呈现明确的形式。我们最终讨论了它的一些特性，包括交叉对称性。希望我们的结果将有助于计算有限尺寸的效果，例如由六角形胶合胶引起的复杂汇总效应，以及有助于理解ADS5/CFT4散射矩阵的通用特征。
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.
