探讨格点量子引力的Phase Diagram
Exploring the Phase Diagram of Lattice Quantum Gravity
摘要：
我们提出的证据表明，一个非微扰模型的量子引力定义通过欧几里得动力学三角形包含一个区域在参数空间中的扩展4维几何时，一个非平凡的措施项是包括在引力路径积分。在我们的扩展区域内，我们发现一个大尺度谱维数D_s = 4.04 +/- 0.26和Hausdorff维数，这是一致的D_H = 4从有限尺寸标度。我们发现短距离谱维数为D_s ~ 3/2，这可能解决渐近安全性与全息熵标度之间的矛盾。
英文摘要：
We present evidence that a nonperturbative model of quantum gravity defined via Euclidean dynamical triangulations contains a region in parameter space with an extended 4-dimensional geometry when a non-trivial measure term is included in the gravitational path integral. Within our extended region we find a large scale spectral dimension of D_s = 4.04 +/- 0.26 and a Hausdorff dimension that is consistent with D_H = 4 from finite size scaling. We find that the short distance spectral dimension is D_s ~ 3/2, which may resolve the tension between asymptotic safety and holographic entropy scaling.
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