论文标题
来自量子光谱曲线的一维缺陷CFT的激发态
Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
论文作者
论文摘要
我们研究了使用量子频谱曲线（QSC）方法，研究平面$ \ Mathcal {n} = 4 $ yang-mills理论的MATHCAL {N} = 4 $ YANG-MILLS理论的异常维度。在直线限制中，我们将QSC的激发状态解释为标量运算符的插入，耦合到线路。最近在一维缺陷CFT的背景下对此类插入进行了深入研究。我们在弱耦合上分析地计算了五环扰动结果，并在$ 1/\sqrtλ$扩展中的前四个订单在强耦合下，确认了所有先前的分析结果。此外，我们在数值上发现了非扰动光谱，并表明它在弱耦合预测和强耦合预测之间平稳地插值。
We study the anomalous dimension of the cusped Maldacena-Wilson line in planar $\mathcal{N} = 4$ Yang-Mills theory with scalar insertions using the Quantum Spectral Curve (QSC) method. In the straight line limit we interpret the excited states of the QSC as insertions of scalar operators coupled to the line. Such insertions were recently intensively studied in the context of the one-dimensional defect CFT. We compute a five-loop perturbative result analytically at weak coupling and the first four orders in the $1/\sqrtλ$ expansion at strong coupling, confirming all previous analytic results. In addition, we find the non-perturbative spectrum numerically and show that it interpolates smoothly between the weak and strong coupling predictions.
