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arXiv 1102.4939hep-thhep-ph
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标量场理论中的渐近行为

Asymptotic behavior in the scalar field theory

V. E. Rochev

摘要:

本文给出了具有相互作用$\fracλ{2}(ϕ^*ϕ)^2$的四维欧氏标量场理论的Schwinger-Dyson方程组的一个渐近解。对于$λ>λ_{cr}=16π^2$,两粒子振幅在大动量下具有无病态的渐近行为。对于$λ<λ_{cr}$,振幅具有Landau型奇异性。

英文摘要:

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

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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