标题： 从混沌到双尺度SYK的可积性通过弦路径积分 显示英文标题

标题： From Chaos to Integrability in Double Scaled SYK via a Chord Path Integral

摘要： 我们研究了可积与混沌动力学之间的热力学相变。 我们通过分析介于混沌的双尺度 Sachdev-Ye-Kitaev (SYK) 模型和可积的$p$-自旋系统之间的插值模型来实现这一点，在它们由弦图描述的极限下进行研究。 我们通过对这些图进行粗粒化处理来发展路径积分形式化方法，并用其论证该系统具有两个不同的相：一个与混沌系统连续连接，另一个与可积系统连接。这两个相由一条一阶相变线分隔，该线在某个有限温度处结束。 显示英文摘要

摘要： We study thermodynamic phase transitions between integrable and chaotic dynamics. We do so by analyzing models that interpolate between the chaotic double scaled Sachdev-Ye-Kitaev (SYK) and the integrable $p$-spin systems, in a limit where they are described by chord diagrams. We develop a path integral formalism by coarse graining over the diagrams, which we use to argue that the system has two distinct phases: one is continuously connected to the chaotic system, and the other to the integrable. They are separated by a line of first order transition that ends at some finite temperature.