论文标题
使用仿射量化来分析不可降低的标量场和爱因斯坦重力的量化
Using Affine Quantization to Analyze Non-renormalizable Scalar Fields and the Quantization of Einstein's Gravity
论文作者
论文摘要
仿射量化是针对规范量化的平行程序,它非常适合处理不可降低的标量模型以及量子重力。这种方法的基本应用导致了任何量化的共同目标,例如Schroedinger的表示和Schroedinger方程。谨慎的关注是寻求偏爱的经典变量,这些变量应将其促进给主要量子运营商。这种努力导致具有恒定正,零或负曲率的经典变量,这些变量通常表征了这种偏爱的变量。该重点倾向于具有恒定负曲率的仿射变量,这导致了对非氮质量标量模型以及爱因斯坦的一般相对性的出人意料分析。
Affine quantization is a parallel procedure to canonical quantization, which is ideally suited to deal with non-renormalizable scalar models as well as quantum gravity. The basic applications of this approach lead to the common goals of any quantization, such as Schroedinger's representation and Schroedinger's equation. Careful attention is paid toward seeking favored classical variables, which are those that should be promoted to the principal quantum operators. This effort leads toward classical variables that have a constant positive, zero, or negative curvature, which typically characterize such favored variables. This focus leans heavily toward affine variables with a constant negative curvature, which leads to a surprisingly accommodating analysis of non-renormalizable scalar models as well as Einstein's general relativity.