发表机构
Institute for Advanced Study, Tsinghua University; Instituto de Física Teórica, UNESP-Universidade Estadual Paulista（清华大学高等研究中心; 圣保罗州立大学理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用热解析性推导量子场论中完全本征态热化的频率界限，发现全息CFT在第四阶饱和最强界限，建立了完全ETH、自由累积量与引力扰乱间的直接联系。
AI 中文摘要
利用热解析性，我们推导了连续量子场论中进入完全本征态热化的光滑函数的定向大频率界限。最强的方向再现了先前为晶格系统确定的尺度，而完整的解析性域揭示了更广泛的不对称多频率结构。在热二维共形场论中，精确的两点和三点函数饱和了相应的界限。在第四阶，即真正的动力学信息首次出现之处，我们表明此处研究的全息CFT饱和了最强的完全ETH界限。这些结果建立了完全ETH、自由累积量和引力扰乱之间的直接联系，并与引力扰乱代数实现的渐近自由性的出现一致。
英文摘要
Using thermal analyticity, we derive directional large-frequency bounds on the smooth functions entering full eigenstate thermalization in continuum quantum field theory. The strongest directions reproduce the scales previously identified for lattice systems, while the complete analyticity domain reveals a broader asymmetric multifrequency structure. In thermal two-dimensional conformal field theory, exact two- and three-point functions saturate the corresponding bounds. At fourth order, where genuine dynamical information first appears, we show that the holographic CFTs studied here saturate the strongest full-ETH bounds. These results establish a direct connection between full ETH, free cumulants, and gravitational scrambling, and are consistent with the emergence of asymptotic freeness realized by the gravitational scrambling algebra.
Comments53 pages, 6 figures
