标题： 在实数域中对规范引力进行量化 显示英文标题

标题： Quantizing canonical gravity in the real domain

摘要： 我们提倡一种在3+1维中的规范引力的替代描述，该描述通过使用空间三流形上的通常Ashtekar连接变量的一个实数变体作为基本变量来获得。 通过这种假设，不需要解决非平凡的现实条件，尽管哈密顿约束是非多项式的，但可以在晶格正则化中严格地进行量子化。 显示英文摘要

摘要： We advocate an alternative description of canonical gravity in 3+1 dimensions, obtained by using as the basic variable a real variant of the usual Ashtekar connection variables on the spatial three-manifold. With this ansatz, no non-trivial reality conditions have to be solved, and the Hamiltonian constraint, though non-polynomial, can be quantized rigorously in a lattice regularization.