Existence of the Bogoliubov S(g) operator for the $(:\phi^4:)_2$ quantum field theory
Mathematical Physics
2009-11-10 v3 math.MP
Abstract
We prove the existence of the Bogoliubov S(g) operator for the quantum field theory for coupling functions of compact support in space and time. The construction is nonperturbative and relies on a theorem of Kisy\'nski. It implies almost automatically the properties of unitarity and causality for disjoint supports in the time variable.
Keywords
Cite
@article{arxiv.math-ph/0306042,
title = {Existence of the Bogoliubov S(g) operator for the $(:\phi^4:)_2$ quantum field theory},
author = {W. F. Wreszinski and L. A. Manzoni and O. Bolina},
journal= {arXiv preprint arXiv:math-ph/0306042},
year = {2009}
}
Comments
LaTeX, 24 pages, minor modifications, typos corrected