Asymptotic behavior in the scalar field theory

Details Asymptotic behavior in the scalar field theory Asymptotic behavior in the scalar field theory

2011-02-24

arxiv.org/abs/1102.4939v2

Physics

High Energy Physics

High Energy Physics - Theory

16 pages; journal version; references added

Scientific paper

An asymptotic solution of the system of Schwinger-Dyson equations for four-dimensional Euclidean scalar field theory with interaction $\frac{\lambda}{2}(\phi^*\phi)^2$ is obtained. For $\lambda>\lambda_{cr}=16\pi^2$ the two-particle amplitude has the pathology-free asymptotic behavior at large momenta. For $\lambda<\lambda_{cr}$ the amplitude possesses Landau-type singularity.

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