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A quantum model of a real scalar field
Authors:Ning Wu  Tunan Ruan
Institution:(1) CCAST (World Lab), P.0. Box 8730, 100080 Beijing, China;(2) Department of Modern Physics, University of Science and Technology of China, 230026 Hefei, China
Abstract: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 BB μ, is needed. By combining the constraint of operator gauge potentialB μ, 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. 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.
Keywords:canonical quantization condition  Hermiticity requirement  ?perator gauge symmetry  microscopic  causality theorem
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