摘要
借助于迪拉克过程，我们覆查杨的使量子化的时空模型，它与 Snyder 的模型的关系， dS 专辑相关性和他们的紫外红外的两重性。从一种尺寸开始更少的 dS (5 ) 空间在一(5+1 ) 维的水貂空间一个完全的杨模型在古典并且量水平能被介绍并且确实在那里存在 Snyder 的模型， dS 专辑相关性和两重性。
By means of the Dirac procedure, we re-examine Yang＇s quantized space-time model, its relation to Snyder＇s model, the dS special relativity and their UV IR duality. Starting from a dimensionless dS3-space in a （5＋1）- dimensional Mink-space a complete Yang model at both classical and quantum level can be presented and there really exists Snyder＇s model, the dS special relativity and the duality.
基金
Supported by the National Natural Science Foundation of China under Grant Nos 90503002, 10701081 and 10775140, the National Basic Research Programme of China under Grant No 2004CB318000, the Beijing Jiao-Wei Key Project （KZ200810028013）, and the Knowledge Innovation Project of Chinese Academy of Sciences （KJCX3-SYW-S03）.
