论文标题
超局部经典和量子重力理论
An Ultralocal Classical and Quantum Gravity Theory
论文作者
论文摘要
任何经典田间理论的超遗传形式都消除了其作用功能中的所有空间衍生物，例如在其哈密顿功能密度中。它已应用于协变量标量场理论，甚至应用于爱因斯坦的一般相对论，作为旨在恢复所有遗漏衍生物的扰动系列中的初始术语。以前，作者通过仿射量化对超局部标量量进行了量化，以表明这些非肾上腺素理论可以通过仿射量化正确量化。本文讨论了这种标量模型的故事。本文还将表明可以通过仿射量化成功量化超局部重力。 这项研究的目的是，对任何超局部场问题的成功仿射量化都意味着，通过正确恢复的衍生物，可以保证使用规范量化或仿射量化的经典理论成功地取得了成功。特别是，爱因斯坦的重力需要仿射量化，这将是成功的。
An ultralocal form of any classical field theory eliminates all spatial derivatives in its action functional, e.g., in its Hamiltonian functional density. It has been applied to covariant scalar field theories and even to Einstein's general relativity, by Pilati, as an initial term in a perturbation series that aimed to restore all omitted derivatives. Previously, the author has quantized ultralocal scalar fields by affine quantization to show that these non-renormalizanle theories can be correctly quantized by affine quantization; the story of such scalar models is discussed in this paper. The present paper will also show that ultralocal gravity can be successfully quantized by affine quantization. The purpose of this study is that a successful affine quantization of any ultralocal field problem implies that, with properly restored derivatives, the classical theory can, in principle, be guaranteed a successful result using either a canonical quantization or an affine quantization. In particular, Einstein's gravity requires an affine quantization, and it will be successful.
