Complex structure and the construction of the $:ϕ^4_4:$ quantum field theory in four-dimensional space-time

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dc.creatorOsipov, Edward P.
dc.date1996-05-22
dc.date.accessioned2026-07-07T09:14:32Z
dc.date.available2026-07-07T09:14:32Z
dc.descriptionWe announce results about the nonperturbative mathematically rigorous construction of the $:\!ϕ^4_4\!:$ 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 $:\!ϕ^4_4\!:$ 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.
dc.description10 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/9605165
dc.identifierhttp://arxiv.org/abs/hep-th/9605165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152706
dc.subjectHigh Energy Physics - Theory
dc.subjectFunctional Analysis
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titleComplex structure and the construction of the $:ϕ^4_4:$ quantum field theory in four-dimensional space-time
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