With the help of the complex structure and the wave operator of the nonlinear
classical Klein-Gordon equation with the interaction $u^4_4$ we define the Wick
kernel of the interacting quantum field in four-dimensional space-time and
consider its properties. In particular, the diagonal of this Wick kernel is
(real) solutions of the classical nonlinear Klein-Gordon equation with the
interaction $u^4_4.$
Publié le : 1996-05-07
Classification:
Mathematics - Functional Analysis,
High Energy Physics - Theory,
Mathematical Physics,
Nonlinear Sciences - Exactly Solvable and Integrable Systems,
Quantum Physics
@article{9605002,
author = {Osipov, Edward P.},
title = {The $:\phi^4\_4:$ quantum field theory, I. Wave operator, holomorphity
and Wick kernel},
journal = {arXiv},
volume = {1996},
number = {0},
year = {1996},
language = {en},
url = {http://dml.mathdoc.fr/item/9605002}
}
Osipov, Edward P. The $:\phi^4_4:$ quantum field theory, I. Wave operator, holomorphity
and Wick kernel. arXiv, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/9605002/