The $:φ^4_4:$ quantum field theory, I. Wave operator, holomorphity and Wick kernel

Details The $:φ^4_4:$ quantum field theory, I. Wave operator, holomorphity and Wick kernel The $:φ^4_4:$ quantum field theory, I. Wave operator, holomorphity and Wick kernel

1996-05-07

arxiv.org/abs/funct-an/9605002v1

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX

Scientific paper

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 $u^4_4.$

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