N=4 SYM的量子谱曲线和结构常数：阶梯极限的尖点
Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
摘要：
当用量子谱曲线的关键量Q函数表示时，我们发现3尖点Wilson线结构常数的非微扰表达式大大简化了.我们的计算是针对阶梯极限中位于同一平面上的3个具有任意角度的尖点的构形进行的。这提供了强有力的证据表明，量子谱曲线不仅是一个高效的工具，用于寻找异常的尺寸，但也编码关联函数与所有包裹校正考虑到所有订单的`t Hooft耦合。我们还展示了如何研究标量耦合到威尔逊线的插入，并将我们的光谱和结构常数的结果扩展到这种情况。我们讨论了两个尖点在这些国家的OPE扩展。我们的结果提供了额外的支持分离变量策略在解决平面N=4 SYM理论。
英文摘要：
We find a massive simplification in the non-perturbative expression for the structure constant of Wilson lines with 3 cusps when expressed in terms of the key Quantum Spectral Curve quantities, namely Q-functions. Our calculation is done for the configuration of 3 cusps lying in the same plane with arbitrary angles in the ladders limit. This provides strong evidence that the Quantum Spectral Curve is not only a highly efficient tool for finding the anomalous dimensions but also encodes correlation functions with all wrapping corrections taken into account to all orders in the `t Hooft coupling. We also show how to study the insertions of scalars coupled to the Wilson lines and extend our results for the spectrum and the structure constants to this case. We discuss an OPE expansion of two cusps in terms of these states. Our results give additional support to the Separation of Variables strategy in solving the planar N=4 SYM theory.
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