论文标题
使用符号结构量化一般相对论的障碍
Obstacles to the quantization of general relativity using symplectic structures
论文作者
论文摘要
在本文中，我概述了对协变量的哈密顿场理论和经典粒子理论的最简单几何量化的概述。然后，我给出了一个最近提出的玩具模型的概要，用于将此几何量化图应用于多核场理论。我表明，当将这种玩具模型应用于一般相对论时，不会出现特殊困难。然后，我概述了协变量哈密顿场理论的标准工具不符合GR的挑战的原因，因此不能认真对待所产生的量子理论。关于未来工作的前景有一些评论。
In this paper I give overviews of the polysymplectic approach to covariant Hamiltonian field theory and the simplest geometric quantization of classical particle theories. I then give a synopsis of a recently proposed toy model for applying this geometric quantization map to polysymplectic field theory. I show that no special difficulties arise when this toy model is applied to general relativity. I then sketch the reasons why the standard tools of covariant Hamiltonian field theory are not up to the challenge of GR, so that the resulting quantum theory cannot be taken seriously. A few remarks are given about prospects for future work.
