论文标题
在观察者存在下，量子重力的巴西 - 苏拉斯样尺寸降低
Parisi-Sourlas-like dimensional reduction of quantum gravity in the presence of observers
论文作者
论文摘要
一般相对论和量子力学之间不兼容的来源之一是量子重力在$ 3+1 $时空维度中的扰动性非质量。在这里，我们表明，在存在由观察者的随机网络引起的无序中，测量协变量的数量（例如标量曲率）$（3+1）$ - 尺寸量子重力在大型时空尺度上表现出有效的尺寸减小，与Parisi-Sourlas现象类似于量子现象，这与量子现象相似。在平均相关障碍并关注理论的红外动力学之后，我们发现量子重力的上部临界维度从$ d _ {\ rm cr} = 1+1+1 $ to $ d _ {\ rm cr} = 3+1 $尺寸。
One of the sources of incompatibility between general relativity and quantum mechanics is perturbative non-renormalizability of quantum gravity in $3+1$ spacetime dimensions. Here, we show that in the presence of disorder induced by random networks of observers measuring covariant quantities (such as scalar curvature) $(3+1)$-dimensional quantum gravity exhibits an effective dimensional reduction at large spatio-temporal scales, which is analogous to the Parisi-Sourlas phenomenon observed for quantum field theories in random external fields. After averaging over associated disorder and focusing on the infrared dynamics of the theory we find that the upper critical dimension of quantum gravity is lifted from $D_{\rm cr}=1+1$ to $D_{\rm cr}=3+1$ dimensions.
