论文标题
半古典全体形态过渡幅度振幅
Semi-Classical Holomorphic Transition Amplitudes in Covariant Loop Quantum Gravity
论文作者
论文摘要
协变量量子重力（CLQG）是暂定背景无关的量子重力理论，它是从许多不同的研究方向出现的。最近，该理论已应用于所谓的普朗克星模型 - 一种特殊的恒星崩溃模型，其中非扰动量子重力效应起主要作用。但是，在调查这种情况下，一些障碍阻碍了进步。这些障碍范围从概念问题，例如如何从背景独立的量子重力理论中提取物理预测的问题，到由于缺乏评估CLQG过渡幅度的系统方法而导致的计算问题。本文直接解决了这些问题。它在CLQG框架内包含对Planck Star模型的分析，其中包括对相关概念问题的澄清讨论。此外，开发了一种新的CLQG过渡幅度的近似方法。这种方法允许系统地研究该理论的半古典制度中的幅度，并为所谓的余弦问题提供了新的启示。
Covariant Loop Quantum Gravity (CLQG) is a tentative background-independent and non-perturbative theory of quantum gravity which has emerged from a number of different research directions. Recently, this theory has been applied to the so-called Planck star model -- a particular model of stellar collapse in which non-perturbative quantum gravity effects play a predominant role. However, several obstacles have impeded progress in the investigation of this scenario. These obstacles range from conceptual issues, such as the question how to extract physical predictions from a background independent theory of quantum gravity, to computational problems due to a lack of systematic methods to evaluate CLQG transition amplitudes. This thesis addresses these problems directly. It contains an analysis of the Planck star model within the framework of CLQG, including a clarifying discussion on relevant conceptual issues. Moreover, a new approximation method for CLQG transition amplitudes is developed. This method allows to systematically study amplitudes in the semi-classical regime of the theory and it sheds new light on the so-called cosine problem.
