论文标题
Wheeler-Dewitt的ADS-SCHWARZSCHILD内部状态
Wheeler-DeWitt states of the AdS-Schwarzschild interior
论文作者
论文摘要
我们在MinisuperSpace近似中求解了平面ADS-SCHWARZSCHILD内部的Wheeler-Dewitt方程，涉及内部的体积和空间各向异性。构建了高斯波袋，该波袋在经典的内部溶液上达到峰值。使用此波袋计算简单的可观察结果，证明了在内部选择“时钟”的关系概念的自由，并表征了空间般的奇异性的方法。 Wheeler-Dewitt方程可以通过地平线扩展，其中描述了黑洞外部的全息重新归一化组流动。这相当于度量分量$ g_ {tt} $从正内值到负外部值的汉密尔顿 - 雅各比的演变。表现出内部高斯波袋在微型典型能量窗口上演变为边界综合场理论的Lorentizan分区函数。
We solve the Wheeler-DeWitt equation for the planar AdS-Schwarzschild interior in a minisuperspace approximation involving the volume and spatial anisotropy of the interior. A Gaussian wavepacket is constructed that is peaked on the classical interior solution. Simple observables are computed using this wavepacket, demonstrating the freedom to a choose a relational notion of `clock' in the interior and characterizing the approach to the spacelike singularity. The Wheeler-DeWitt equation may be extended out through the horizon, where it describes the holographic renormalization group flow of the black hole exterior. This amounts to the Hamilton-Jacobi evolution of the metric component $g_{tt}$ from positive interior values to negative exterior values. The interior Gaussian wavepacket is shown to evolve into the Lorentizan partition function of the boundary conformal field theory over a microcanonical energy window.
