@article{e3ab522140d14774a675d053d8d79573,
title = "A note on the renormalized square of free quantum fields in space-time dimension d ≥ 4",
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.",
keywords = "Free field model, Hida distribution, L{\'e}vy-Khinchine representation, Quantum fields, Wick powers",
author = "Sergio Albeverio and Song Liang",
note = "Funding Information: * Corresponding author. Contacting address: Song Liang, Graduate School of Information Sciences, Tohoku University, Aramaki Aza Aoba 09, Aoba-ku, Sendai 980-8579, Japan. E-mail address: liang@math.is.tohoku.ac.jp (S. Liang). 1 Financially supported in part by Alexander von Humboldt Foundation (Germany) and Grant-in-Aid for the Encouragement of Young Scientists (No. 15740057), Japan Society for the Promotion of Science.",
year = "2007",
month = jan,
doi = "10.1016/j.bulsci.2006.02.004",
language = "English",
volume = "131",
pages = "1--11",
journal = "Bulletin des Sciences Mathematiques",
issn = "0007-4497",
publisher = "Elsevier Masson SAS",
number = "1",
}