Article ID Journal Published Year Pages File Type
4669233 Bulletin des Sciences Mathématiques 2007 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)