论文标题
欧几里得量子重力中微域合奏的稳定性
Stability of the microcanonical ensemble in Euclidean Quantum Gravity
论文作者
论文摘要
这项工作解决了重力系统的微型典型集合的物理预测的稳定性与一个事实，即渐近平坦的schwarzschild黑洞的已知负面模式在无穷大时衰减，以至于无穷大的ADM能量边界术语在Infinity niftiation nightions稳定。我们研究的关键是，我们通过构建微型典型分区函数作为规范分区函数的整体变换来确定能量的适当{\ it Off-Shell}概念。在将智慧旋转从最近的同伴论文中旋转以处理欧几里得重力的保形模式问题后，我们发现对任何欧几里得施瓦兹柴尔德（-ads）黑洞的线性扰动有积极的确定作用。我们的大部分工作都是在反射边界条件下进行的腔体完成的，但是可以通过适当的限制去除腔壁。
This work resolves a longstanding tension between the physically-expected stability of the microcanonical ensemble for gravitating systems and the fact that the known negative mode of the asymptotically flat Schwarzschild black hole decays too rapidly at infinity to affect the ADM energy boundary term at infinity. The key to our study is that we fix an appropriate {\it off-shell} notion of energy, which we obtain by constructing the microcanonical partition function as an integral transform of the canonical partition function. After applying the rule-of-thumb for Wick rotations from our recent companion paper to deal with the conformal mode problem of Euclidean gravity, we find a positive definite action for linear perturbations about any Euclidean Schwarzchild (-AdS) black hole. Most of our work is done in a cavity with reflecting boundary conditions, but the cavity wall can be removed by taking an appropriate limit.
