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White Noise Approach to the Construction of Φ4 4 Quantum Fields

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Abstract

In this paper by Sobolev imbedding theorem and characterization theorem of generalized operators the existence of Ά 44 quantum fields as generalized operators is obtained with space cut-off and a rigorous mathematical interpretation of renormalization procedure is given under white noise theory.

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Authors and Affiliations

  1. Huazhong University of Science and Technology, Wuhan, P.R. China, 430074

    Zhiyuan Huang & Guanglin Rang

  2. Hubei University, Wuhan, P.R. China, 430062

    Guanglin Rang

Authors
  1. Zhiyuan Huang
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  2. Guanglin Rang
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Huang, Z., Rang, G. White Noise Approach to the Construction of Φ4 4 Quantum Fields. Acta Applicandae Mathematicae 77, 299–318 (2003). https://doi.org/10.1023/A:1024904113462

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