复杂性和动量
Complexity and Momentum
摘要：
以前的工作已经探讨了三个概念之间的联系-运营商的大小，复杂性，和大量的径向动量的下落物体-在JT重力和SYK模型的背景下。在本文中，我们研究这些连接的高维推广。我们使用一个玩具模型来研究扰动CFT真空时算子的增长。从电路分析中，我们将算子的增长与复杂性的增长率联系起来，并通过复杂性-体积对偶来检验。我们进一步给出了一个经验公式的复杂性和批量径向动量的作品从时间的扰动刚刚从截止边界，到后的混乱时间。
英文摘要：
Previous work has explored the connections between three concepts -- operator size, complexity, and the bulk radial momentum of an infalling object -- in the context of JT gravity and the SYK model. In this paper we investigate the higher dimensional generalizations of these connections. We use a toy model to study the growth of an operator when perturbing the vacuum of a CFT. From circuit analysis we relate the operator growth to the rate of increase of complexity and check it by complexity-volume duality. We further give an empirical formula relating complexity and the bulk radial momentum that works from the time that the perturbation just comes in from the cutoff boundary, to after the scrambling time.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
