Existence of the Bogoliubov S(g) operator for the $(:φ^4:)_2$ quantum field theory

Details Existence of the Bogoliubov S(g) operator for the $(:φ^4:)_2$ quantum field theory Existence of the Bogoliubov S(g) operator for the $(:φ^4:)_2$ quantum field theory

2003-06-13

arxiv.org/abs/math-ph/0306042v3

J.Math.Phys. 45 (2004) 2579-2593

Physics

Mathematical Physics

LaTeX, 24 pages, minor modifications, typos corrected

Scientific paper

10.1063/1.1753666

We prove the existence of the Bogoliubov S(g) operator for the $(:\phi^4:)_2$
quantum field theory for coupling functions $g$ 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.

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