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 |
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Pages (from-to) | 1-11 |
Number of pages | 11 |
Journal | Bulletin des Sciences Mathematiques |
Volume | 131 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2007 Jan |
Externally published | Yes |
Keywords
- Free field model
- Hida distribution
- Lévy-Khinchine representation
- Quantum fields
- Wick powers
ASJC Scopus subject areas
- Mathematics(all)