论文标题
简单量子重力
Simplicial Quantum Gravity
论文作者
论文摘要
简单近似以及与regge cyculus相关的思想。提供一种实施总和的混凝土方式。四维的简单几何形状由平坦的四尺度组成。简单的几何形状上的总和是可以通过与边缘长度相结合的整体方式连接简化的方式的总和。简单的欧几里得动作以这种方法量化了这种方法,以量化这种方法,以量化普遍的相关性。讨论了在连续限制中的差异组的恢复。描述了一些可能与拓扑定义总和的简单复合物的类别。
Simplicial approximation and the ideas associated with the Regge calculus.provide a concrete way of implementing a sum over histories formulation ofquantum gravity. A four-dimensional simplicial geometry is made up of flat four-simplices joined together.A sum over simplicial geometries is a sum over thedifferent ways the simplices can be joined together with an integral over their edge lengths.Theconstruction of the simplicial Euclidean action for this approach to quantum general relativity is illustrated. The recovery of the diffeomorphism group in the continuum limit is discussed. Some possible classes of simplicial complexes with which to define a sum over topologies are described.