标题： 量子引力中的标度问题 显示英文标题

标题： Scaling in quantum gravity

摘要： 两点函数是在量子引力中提取临界行为的自然对象：两点函数随测地线距离呈指数衰减，决定了时空的分形维数$d_H$。两点函数的积分确定了熵指数$\gamma$，即与婴儿宇宙相关的分形结构，而两点函数的短距离行为通过费舍尔标度关系的量子引力版本将$\gamma$和$d_H$联系起来。我们通过显式计算验证了二维引力中的这种行为。 显示英文摘要

摘要： The 2-point function is the natural object in quantum gravity for extracting critical behavior: The exponential fall off of the 2-point function with geodesic distance determines the fractal dimension $d_H$ of space-time. The integral of the 2-point function determines the entropy exponent $\gamma$, i.e. the fractal structure related to baby universes, while the short distance behavior of the 2-point function connects $\gamma$ and $d_H$ by a quantum gravity version of Fisher's scaling relation. We verify this behavior in the case of 2d gravity by explicit calculation.