圈量子引力的推广及其应用

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.

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.

本自然科学基金青年项目：“圈量子引力的推广及其应用”，该项目的主要研究内容是探索圈量子引力的推广与应用，特别是宇宙学方面的应用。同时在项目研究的中后期，我们探索了高维圈量子引力的宇宙学应用等课题，取得了满意的成果并发表了多篇文章。通过该项目的研究,我们对圈量子引力及其宇宙学应用有了更深刻的理解,并为以后更深入探索高维圈量子引力的性质打下了坚实的基础。同时在本项目的支持下，我们对致密星的性质也作了一定的研究。形成了10篇标注了基金号的已发表、投稿论文(其中SCI 论文7 篇,ESCI 论文1篇, 其余2篇在投)