E. P. Osipov

collaborators

5 papers

hep-th1996

The $: ϕ_{4}^{4} :$ quantum field theory, II. Integrability of Wick kernels

Edward P. Osipov

We continue the construction of the $: ϕ_{4}^{4} :$ quantum field theory. In this paper we consider the Wick kernel of the interacting quantum field. Using the complex structure and the…

hep-th1996

Complex structure and the construction of the $: ϕ_{4}^{4} :$ quantum field theory in four-dimensional space-time

Edward P. Osipov

We announce results about the nonperturbative mathematically rigorous construction of the $: ϕ_{4}^{4} :$ quantum field theory in four-dimensional space-time. The complex structure o…

funct-an1996

The $: ϕ_{4}^{4} :$ quantum field theory, I. Wave operator, holomorphity and Wick kernel

Edward P. Osipov

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 interact…

funct-an1996

Complex structure and solutions of classical nonlinear equation with the interaction $u_{4}^{4}$

Edward P. Osipov

We consider the (real) nonlinear wave equation $□ u + m^{2} u + λ u^{3} = 0, m > 0, λ > 0,$ on four-\-dimensional Minkowski space. We introduce the complex structure an…

hep-th1996

Quantum Interaction $ϕ_{4}^{4}$ : the Construction of Quantum Field defined as a Bilinear Form

Edward P. Osipov

We construct the solution $ϕ (t, x)$ of the quantum wave equation $□ ϕ + m^{2} ϕ + λ : ϕ^{3} := 0$ as a bilinear form which can be expanded over Wick polynomials of the free $…

The :ϕ44​: quantum field theory, II. Integrability of Wick kernels

Complex structure and the construction of the :ϕ44​: quantum field theory in four-dimensional space-time

The :ϕ44​: quantum field theory, I. Wave operator, holomorphity and Wick kernel

Complex structure and solutions of classical nonlinear equation with the interaction u44​

Quantum Interaction ϕ44​: the Construction of Quantum Field defined as a Bilinear Form

The $: ϕ_{4}^{4} :$ quantum field theory, II. Integrability of Wick kernels

Complex structure and the construction of the $: ϕ_{4}^{4} :$ quantum field theory in four-dimensional space-time

The $: ϕ_{4}^{4} :$ quantum field theory, I. Wave operator, holomorphity and Wick kernel

Complex structure and solutions of classical nonlinear equation with the interaction $u_{4}^{4}$

Quantum Interaction $ϕ_{4}^{4}$ : the Construction of Quantum Field defined as a Bilinear Form