U.S.-Italy Cooperative Research: An Approach to Nonperturbative Quantum Gravity

该奖项将支持教授Abhay Ashtekar和Lee Smolin， 锡拉丘兹大学与 罗马大学的卡洛·罗维利。 研究人员计划 继续他们在一个非常富有成效的合作， 物理学未解决的基本重要问题： 广义相对论的量子化 拟议的研究涉及 量子力学两种新表示的进一步研究 引力：自对偶表示与圈空间 表示，其中量子态由合适的 3-流形上循环空间上的函数。 合作者一直处于量子研究的前沿 引力理论，并取得了重大进展， 引力场物理状态空间的构建。 这项合作将使他们能够扩大他们有前途的搜索 解决量子广义相对论的问题

This award will support Professors Abhay Ashtekar and Lee Smolin of Syracuse University in a research collaboration with Professor Carlo Rovelli of the University of Rome. The investigators plan to continue their very fruitful collaboration on one of the fundamentally important unsolved problems of physics: the quantization of general relativity. The proposed research involves further investigation of two new representations for quantum gravity: the self-dual representation and the loop space representation in which quantum states are defined by suitable functions on the space of loops on a 3-manifold. The collaborators have been at the forefront of research in quantum gravity theories and have made significant progress in the construction of the physical state space of gravitational fields. This collaboration will allow them to extend their promising search for solutions to the problems of quantum general relativity.