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单词 Renormalizable
释义

Renormalizable

中文百科

重正化 Renormalization

(重定向自Renormalizable)
图1. 量子电动力学中的重整化:此例为简单的电子-光子交互作用,在一个重整化点决定了电子的电荷。实际上,可以在右图看到包含了在其他点更多复杂的交互作用。

重整化Renormalization)是量子场论、场的统计力学和自相似几何结构中解决计算过程中出现无穷大的一系列方法。

在量子场论发展的早期,人们发现许多圈图(即微扰展开的高阶项)的计算结果含有发散(即无穷大)项。重整化是解决这个困难的一个方案。一个理论如果只有有限种发散项,则可以在拉氏量中引进有限数目的项来抵消这些无穷大项,这种情形被称为可重整。反之,如果理论中有无限种发散项,则称为不可重整。

可重整化曾被认为一个场论所必需满足的自洽性要求。它在量子电动力学和量子规范场论的发展过程中起过重要的作用。粒子物理的标准模型也是可重整的。

英语百科

Renormalization 重正化

(重定向自Renormalizable)
Figure 1. Renormalization in quantum electrodynamics: The simple electron/photon interaction that determines the electron's charge at one renormalization point is revealed to consist of more complicated interactions at another.
Figure 2. A diagram contributing to electron-electron scattering in QED. The loop has an ultraviolet divergence.
Figure 3. The vertex corresponding to the Z1 counterterm cancels the divergence in Figure 2.

In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.

Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill-defined. To define them, this continuum limit—the removal of the "construction scaffolding" of lattices at various scales—has to be taken carefully, as detailed below. Renormalization procedures are based on the requirement that certain physical quantities are equal to the observed values.

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更新时间:2025/6/18 4:47:57