Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (4): 589-596.

• Articles • Previous Articles     Next Articles

GENERALIZED OPERATORS AND
P()2 QUANTUM FIELDS

 HUANG Zhi-Yuan, RANG Guang-Lin   

  1. 2.Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China
    3.Mathematics and Statistics school, Wuhan University, Wuhan 430072, China
    4.Department of Mathematics, Hubei University, Wuhan 430062, China
  • Online:2004-10-20 Published:2004-10-20
  • Supported by:

    Project supported by NSFC (10171035) and Hubei University Youth Foundation
    (97A012)

Abstract:

In this paper by Sobolev imbedding theorem and characterization theorem
of generalized operators the existence of P()2 quantum fields as generalized operators is
obtained and a rigorous mathematical interpretation of renormalization procedure is given
under white noise theory.

Key words: White noise calculus;generalized operator;P()2 quantum fields

CLC Number: 

  • 60H40
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