发表机构
Queen Mary University of London; City St George’s, University of London（伦敦大学玛丽女王学院; 伦敦大学城市圣乔治学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在N=4超杨-米尔斯理论大电荷't Hooft极限下，利用已知的重-重-轻-轻四点关联子，确定有限有效耦合下的能量-能量关联子（EEC），并研究其随λ_Q和探测器角间距的物理行为。
AI 中文摘要
我们在四维N=4超杨-米尔斯理论的大电荷't Hooft极限下，研究重态的能量-能量关联子（EEC），其中重算符的标度维Δ（等价于其R荷）趋于无穷大，同时保持有效耦合λ_Q ∝ g_YM²Δ固定。在该极限下，相关的重-重-轻-轻四点关联子对λ_Q的所有阶均已知。对于某些类算符，可对微扰级数进行重求和以得到精确的有限耦合表达式。我们利用这些结果确定对应的EEC，其动力学部分可从四点关联子的双不连续性中提取。我们确定了有限有效耦合下的EEC，并研究其作为λ_Q和探测器角间距的函数的物理行为，涵盖一般角度以及共线和背对背极限情况。
英文摘要
We study the energy-energy correlator (EEC) in heavy states of four-dimensional $\mathcal N=4$ super Yang--Mills theory in the large-charge 't Hooft limit, in which the dimension $Δ$ of the heavy operator (or, equivalently, its $R$-charge) is taken to infinity with the effective coupling $λ_Q \propto g_{\mathrm{YM}}^2Δ$ held fixed. The relevant heavy-heavy-light-light four-point correlators are known to all orders in $λ_Q$ in this limit. For certain classes of operators, the perturbative series can be resummed to obtain exact finite-coupling expressions. We use these results to determine the corresponding EEC, whose dynamical part can be extracted from a double discontinuity of the four-point correlator. We determine the EEC at finite effective coupling and study its physical behavior as a function of $λ_Q$ and the angular separation between the detectors, both at generic angles and in the collinear and back-to-back limits.
Comments27 pages + appendices; 8 figures
