1996/05/22 by Edward P. Osipov, Osipov, Edward P.
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #funct-an #hep-th #math.FA #nlin.SI #quant-ph #solv-int
paper · pdf · doi:10.48550/arxiv.hep-th/9605165
10 pages, LaTeX
arxiv created 1996/05/22 · arxiv updated 2009/11/30
We announce results about the nonperturbative mathematically rigorous construction of the : ϕ44 : quantum field theory in four-dimensional space-time. The complex structure of solutions of the classical nonlinear (real-valued) wave equation and quantization are closely connected among themselves and allow to construct non-perturbatively the quantum field theory with interaction : ϕ44 : in four-dimensional space-time. We consider vacuum averages, in particular, we construct Wightman functions and matrix elements of the scattering operator as generalized functions for finite energies. The constructed theory is obviously nontrivial.