圈量子引力的推广及其应用

项目名称： 圈量子引力的推广及其应用

项目编号： No.11305063

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 数理科学和化学

项目作者： 张向东

作者单位： 华南理工大学

项目金额： 22万元

中文摘要： 引力场的量子化是当前理论物理研究中一个十分重要而艰深的课题.圈量子引力理论正是试图将量子力学和广义相对论有机融合成一个量子引力理论的一种极具根本性的尝试.本项目致力于讨论圈量子引力理论的推广及其应用,具体涉及下述三方面内容：1. 将圈量子引力理论推广到更一般的修改引力理论,此问题的关键是构造相应的修改引力理论的联络动力学; 2. 将上述推广了的圈量子引力理论应用到宇宙学,考察修改引力的圈量子宇宙学的量子动力学和有效理论,通过构造相应的半经典态并得到描述宇宙演化的有效方程, 探讨在修改引力中量子反弹的普适性; 3. 探讨将圈量子引力理论应用到中子星的可能性,特别是研究中子星中可能的量子引力效应.

中文关键词： 圈量子引力；圈量子宇宙学；致密星；；

英文摘要： Quantization of gravity is an important and tough issue in today's fundamental theorical physics. Loop quantum gravity is such a theory tring to unify quantum mechanics and general relativity into a single quantum gravity theory. The aim of this proposal is to extend loop quantization method to more general modified graivity theory and discuss its applications. The main goal of this proposal is to focus on the following three aspects: 1. generalize loop quantum gravity to most general modified gravity, the key point is to construct its corresponding connection dynamics; 2. apply the above loop quantum modified gravity to cosmology and investigate its quantum dynamics as well as effcetive theory. In addition, by constructing semiclasical state of loop quantum modified cosmology and using it to get its effective equation, we will discuss the universality of quantum bounce of loop quantum modified cosmology; 3. Investigate the possiblity of the application of loop quantum gravity to neutron star system, especially the possible quantum gravity effects on neutron star.

英文关键词： loop quantum gravity；loop quantum cosmology；compact star；；