Theoretical Investigations in Classical and Quantum Gravity

这是一个继续支持广义相对论研究的小组提案，特别是它与量子物理学的接口。 该计划有几个目标，将由PI在各种合作中追求。 首先，他们希望最终确定量子广义相对论是否可以作为一个数学上一致的理论非微扰地存在。 其次，他们希望引入一些新的近似方法：i）获得对量子几何性质的物理见解，即取代连续统并探索这种取代对量子场论的影响; ii）研究物质场与引力的耦合; iii）研究理论具有良好的紫外行为和良好的半经典极限的要求是否具有意想不到的后果;以及，iv）探索弦理论和量子引力之间关系的某些方面。 该计划将探索理论物理学中最重要的开放问题，并可能产生重要的见解和进展。

This is a group proposal for continued support of research in general relativity and especially its interface with quantum physics. The program has several goals which will be pursued by the PIs in various collaborations. First, they hope to determine conclusively if quantum general relativity can exist as a mathematically consistent theory non-perturbatively. Second, they wish to introduce a number of new approximation methods to: i) gain physical insights into the nature of quantum geometry that is to replace the continuum and explore the effects that this replacement would have on quantum field theory; ii) study the coupling of matter fields to gravity; iii) investigate whether the requirements that the theory has a good ultra-violet behavior and a good semi-classical limit have unanticipated consequences; and, iv) explore certain aspects of the relation between string theory and quantum gravity. This program will explore the most important open problems in theoretical physics, and is likely to produce important insights and progress.