English

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

funct-an 2008-02-03 v1 High Energy Physics - Theory Mathematical Physics Functional Analysis math.MP Exactly Solvable and Integrable Systems Quantum Physics solv-int

Abstract

With the help of the complex structure and the wave operator of the nonlinear classical Klein-Gordon equation with the interaction u44u^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 u44.u^4_4.

Keywords

Cite

@article{arxiv.funct-an/9605002,
  title  = {The $:\phi^4_4:$ quantum field theory, I. Wave operator, holomorphity and Wick kernel},
  author = {Edward P. Osipov},
  journal= {arXiv preprint arXiv:funct-an/9605002},
  year   = {2008}
}

Comments

19 pages, LaTeX