A note on the renormalized square of free quantum fields in space-time dimension d ≥ 4

Sergio Albeverio; Song Liang

doi:10.1016/j.bulsci.2006.02.004

A note on the renormalized square of free quantum fields in space-time dimension d ≥ 4

Sergio Albeverio, Song Liang

School of Education

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

We consider the renormalized or Wick square of the free quantum field, which is well-defined as a Hida distribution. It is known that this is a random variable for space-time dimension d ≤ 3. In this report, by considering the characteristic function, we show that this Wick square is not a random variable in dimension d ≥ 4.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Bulletin des Sciences Mathematiques
Volume	131
Issue number	1
DOIs	https://doi.org/10.1016/j.bulsci.2006.02.004
Publication status	Published - 2007 Jan

Keywords

Free field model
Hida distribution
Lévy-Khinchine representation
Quantum fields
Wick powers

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.bulsci.2006.02.004

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Albeverio, S., & Liang, S. (2007). A note on the renormalized square of free quantum fields in space-time dimension d ≥ 4. Bulletin des Sciences Mathematiques, 131(1), 1-11. https://doi.org/10.1016/j.bulsci.2006.02.004

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