| GENERALIZED OPERATORS AND P（φ）2 QUANTUM FIELDS |
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| 引用本文： | 黄志远,让光林.GENERALIZED OPERATORS AND P（φ）2 QUANTUM FIELDS[J].数学物理学报(B辑英文版),2004,24(4):589-596. |
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| 作者姓名： | 黄志远 让光林 |
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| 作者单位： | [1]DepartmentofMathematics,HuazhongUniversityofScienceandTechnology,Wuhan430074,China [2]MathematicsandStatisticsschool,WuhanUniversity,Wuhan430072,China |
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| 基金项目： | Project supported by NSFC (10171035) and Hubei University Youth Foundation (97A012) |
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| 摘 要： | In this paper by Sobolev imbedding theorem and characterization theorem of generalized operators the existence of P(φ)2 quantum fields as generalized operators is obtained and a rigorous mathematical interpretation of renormalization procedure is given under white noise theory.
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| 关 键 词： | 白噪声计算 广义算子 量子场 数理方程 |
GENERALIZED OPERATORS AND P(φ)2 QUANTUM FIELDS |
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| Huang Zhiyuan Rang Guanglin.GENERALIZED OPERATORS AND P(φ)2 QUANTUM FIELDS[J].Acta Mathematica Scientia,2004,24(4):589-596. |
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| Authors: | Huang Zhiyuan Rang Guanglin |
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| Institution: | Huang Zhiyuan Rang Guanglin
Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China
Mathematics and Statistics school,Wuhan University,Wuhan 430072,China
Department of Mathematics,Hubei University,Wuhan 430062,China |
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| Abstract: | In this paper by Sobolev imbedding theorem and characterization theorem of generalized operators the existence of P(φ)2 quantum fields as generalized operators is obtained and a rigorous mathematical interpretation of renormalization procedure is given under white noise theory. |
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| Keywords: | White noise calculus generalized operator |
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