论文标题
有关复杂的Sachdev-ye-Kitaev Eternal虫洞的更多信息
More on Complex Sachdev-Ye-Kitaev Eternal Wormholes
论文作者
论文摘要
在这项工作中，我们研究了与$ U（1）$ Charge Consemations耦合Sachdev-Ye-Kitaev（SYK）型号的概括。该模型在不同的化学势下包含复杂SYK模型的两个副本，并通过直接跳跃项结合。在零温度和小的耦合极限和小平均化学电位的小耦合极限中，基态是一个永恒的虫洞连接两个侧，特定的电荷$ q = 0 $，相当于热菲尔德双状态。我们得出保形绿色的功能并确定相应的IR参数。在更高的化学电位下，系统转移到黑洞相。我们进一步得出了Schwarzian的有效行动，并研究了其淬火动力。最后，我们将数值结果与分析预测进行了比较。
In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with $U(1)$ charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge $Q=0$, which is equivalent to a thermofield double state. We derive the conformal Green's functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.
