A quantum model of a real scalar field  

作　　者：吴宁 阮图南 

机构地区：[1](CCAST (World Lab), P.O. Box 8730, Beijing 100080, China [2]Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

出　　处：《Science China Mathematics》1997年第6期633-637,共5页中国科学：数学（英文版）

基　　金：Project supported in part by T.D.Lee's NNSF Grant,National Natural Science Foundation of China,Foundation of Ph.D Directing Programme of Chinese Universities and the Chinese Academy of Sciences.

摘　　要：A quantum model of a real scalar field with local operator gauge symmetry is discussed. In the localized theory, in order to keep the local operator gauge symmetry, an operator gauge potential Bμ is needed. By combining the constraint of operator gauge potential Bμ and the microscopic causality theorem, the usual canonical quantization condition of a real scalar field is obtained. Therefore, a quantum model of a real scalar field without the usual procedure of quantizing a related classical model can be directly constructed.A quantum model of a real scalar field with local operator gauge symmetry is discussed. In the localized theory, in order to keep the local operator gauge symmetry, an operator gauge potential Bμ is needed. By combining the constraint of operator gauge potential Bμ and the microscopic causality theorem, the usual canonical quantization condition of a real scalar field is obtained. Therefore, a quantum model of a real scalar field without the usual procedure of quantizing a related classical model can be directly constructed.

关 键 词：CANONICAL quantization condition HERMITICITY REQUIREMENT operator GAUGE symmetry MICROSCOPIC CAUSALITY theorem. 

分 类 号：O413.1[理学—理论物理]