The $:\phi^4_4:$ quantum field theory, I. Wave operator, holomorphity and Wick kernel
Abstract
With the help of the complex structure and the wave operator of the nonlinear classical KleinGordon equation with the interaction $u^4_4$ we define the Wick kernel of the interacting quantum field in fourdimensional spacetime and consider its properties. In particular, the diagonal of this Wick kernel is (real) solutions of the classical nonlinear KleinGordon equation with the interaction $u^4_4.$
 Publication:

arXiv eprints
 Pub Date:
 May 1996
 arXiv:
 arXiv:functan/9605002
 Bibcode:
 1996funct.an..5002O
 Keywords:

 Mathematics  Functional Analysis;
 High Energy Physics  Theory;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Quantum Physics
 EPrint:
 19 pages, LaTeX