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White Noise Approach to the Construction of Φ4 4 Quantum Fields

White Noise Approach to the Construction of Φ4 4 Quantum Fields In this paper by Sobolev imbedding theorem and characterization theorem of generalized operators the existence of Ά 4 4 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

White Noise Approach to the Construction of Φ4 4 Quantum Fields

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References (28)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/A:1024904113462
Publisher site
See Article on Publisher Site

Abstract

In this paper by Sobolev imbedding theorem and characterization theorem of generalized operators the existence of Ά 4 4 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.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Oct 5, 2004

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