论文标题
Syk模型中的欧几里得虫洞
Euclidean wormhole in the SYK model
论文作者
论文摘要
我们研究具有复杂耦合的两个站点的Sachdev-Ye-Kitaev（SYK）模型，并确定低温过渡到以温度自由能的恒定为特征的间隙相。观察到这种过渡，而没有在两个位点之间引入耦合，并且仅在复合耦合上的集成平均值之后才出现。我们提出了对这些结果的重力解释，它通过物质构建了千斤顶teitelboim（JT）重力的明确解：一种二维欧几里得虫洞，其几何形状是双号喇叭。该解决方案由边缘运算符的虚构来源维持，而无需两个边界之间的耦合。随着温度的降低，与SYK观察的定性一致性，从一个有两个黑洞的断开相过渡到连接的虫洞相。边缘运算符的期望值是该过渡的订单参数。这说明了在混凝土设置中，欧几里得虫洞如何由平均磁场理论耦合产生。
We study a two-site Sachdev-Ye-Kitaev (SYK) model with complex couplings, and identify a low temperature transition to a gapped phase characterized by a constant in temperature free energy. This transition is observed without introducing a coupling between the two sites, and only appears after ensemble average over the complex couplings. We propose a gravity interpretation of these results by constructing an explicit solution of Jackiw-Teitelboim (JT) gravity with matter: a two-dimensional Euclidean wormhole whose geometry is the double trumpet. This solution is sustained by imaginary sources for a marginal operator, without the need of a coupling between the two boundaries. As the temperature is decreased, there is a transition from a disconnected phase with two black holes to the connected wormhole phase, in qualitative agreement with the SYK observation. The expectation value of the marginal operator is an order parameter for this transition. This illustrates in a concrete setup how a Euclidean wormhole can arise from an average over field theory couplings.
