论文标题
有限切口JT重力和自我避开循环
Finite-cutoff JT gravity and self-avoiding loops
论文作者
论文摘要
我们使用对双曲线空间中自我避免环的统计力学的映射在有限的截止下研究量子JT重力，具有正压和固定的长度。半经典限制（小$ g_n $）对应于巨大的压力，我们在适用于不同环尺寸的三个重叠式方案中解决了该问题。对于中间循环尺寸，半经典有效描述是有效的，但对于非常大或非常小的循环，波动占主导地位。对于大循环，这种量子制度由施瓦茨理论控制。对于小循环，有效描述完全失败了，但是使用避免自我避免步行理论的猜想来控制问题。
We study quantum JT gravity at finite cutoff using a mapping to the statistical mechanics of a self-avoiding loop in hyperbolic space, with positive pressure and fixed length. The semiclassical limit (small $G_N$) corresponds to large pressure, and we solve the problem in that limit in three overlapping regimes that apply for different loop sizes. For intermediate loop sizes, a semiclassical effective description is valid, but for very large or very small loops, fluctuations dominate. For large loops, this quantum regime is controlled by the Schwarzian theory. For small loops, the effective description fails altogether, but the problem is controlled using a conjecture from the theory of self-avoiding walks.
