论文标题
关于量子重力的重建问题
On the reconstruction problem in Quantum Gravity
论文作者
论文摘要
路径积分和Wilsonian重新归一化组提供了两个补充计算工具，用于研究量子重力的连续性方法。这些结构的起点分别采用了裸露的动作和重新归一化组流的固定点。虽然很明显，这些成分之间应该有联系，但它们的关系远非微不足道。这导致了所谓的重建问题。在这项工作中，我们证明了这两种公式之间的地图不会在背景曲率中以二次顺序产生非区域。在这个级别上，从威尔逊重新归一化组获得的路径积分和固定点动作中的裸机仅通过本地术语而有所不同。该结论不适用于具有物理紫外线截止或基本非局部性量表的理论。
Path integrals and the Wilsonian renormalization group provide two complementary computational tools for investigating continuum approaches to quantum gravity. The starting points of these constructions utilize a bare action and a fixed point of the renormalization group flow, respectively. While it is clear that there should be a connection between these ingredients, their relation is far from trivial. This results in the so-called reconstruction problem. In this work, we demonstrate that the map between these two formulations does not generate non-localities at quadratic order in the background curvature. At this level, the bare action in the path integral and the fixed-point action obtained from the Wilsonian renormalization group differ by local terms only. This conclusion does not apply to theories coming with a physical ultraviolet cutoff or a fundamental non-locality scale.
