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第325行： − The scale-dependence of a quantum field theory (QFT) is characterised by the way its coupling parameters depend on the energy-scale of a given physical process. This energy dependence is described by the renormalization group, and is encoded in the beta-functions of the theory.+ − − 量子场论的尺度依赖性表现为它的耦合参数依赖于给定物理过程的能量尺度。这种对能量的依赖性由重整化群描述，并被编码在理论的 beta 函数中。 − For a QFT to be scale-invariant, its coupling parameters must be independent of the energy-scale, and this is indicated by the vanishing of the beta-functions of the theory. Such theories are also known as fixed points of the corresponding renormalization group flow.J. Zinn-Justin (2010) Scholarpedia article "Critical Phenomena: field theoretical approach".+ − − 对于具有尺度不变性的 QFT，其耦合参数必须与能量尺度无关，这可以用理论中 β 函数的消失来表示。这种理论也被称为相应重整化群流的不动点。Zinn-Justin (2010) Scholarpedia 文章“批判现象: 场域理论方法”。
→Quantum electrodynamics 量子电动力学
The scale-dependence of a [[quantum field theory]] (QFT) is characterised by the way its [[coupling constant|coupling parameters]] depend on the energy-scale of a given physical process. This energy dependence is described by the [[renormalization group]], and is encoded in the [[beta-function]]s of the theory.
The scale-dependence of a [[quantum field theory]] (QFT) is characterised by the way its [[coupling constant|coupling parameters]] depend on the energy-scale of a given physical process. This energy dependence is described by the [[renormalization group]], and is encoded in the [[beta-function]]s of the theory.
量子场论(QFT)的标度依赖性的特征是其耦合参数依赖于给定物理过程的能量标度。这种能量依赖由重正化群描述，并编码在理论的β函数中。
For a QFT to be scale-invariant, its coupling parameters must be independent of the energy-scale, and this is indicated by the vanishing of the beta-functions of the theory. Such theories are also known as [[Renormalization group|fixed points]] of the corresponding renormalization group flow.<ref>[[Jean Zinn-Justin|J. Zinn-Justin]] (2010) Scholarpedia article [http://www.scholarpedia.org/article/Critical_Phenomena:_field_theoretical_approach "Critical Phenomena: field theoretical approach"].</ref>
For a QFT to be scale-invariant, its coupling parameters must be independent of the energy-scale, and this is indicated by the vanishing of the beta-functions of the theory. Such theories are also known as [[Renormalization group|fixed points]] of the corresponding renormalization group flow.<ref>[[Jean Zinn-Justin|J. Zinn-Justin]] (2010) Scholarpedia article [http://www.scholarpedia.org/article/Critical_Phenomena:_field_theoretical_approach "Critical Phenomena: field theoretical approach"].</ref>
对于具有标度不变性的量子场论（QFT），其耦合参数必须与能量标度无关，这由理论中β函数的消失来表示。这类理论也被称为相应重整化群流的固定点。
===Quantum electrodynamics 量子电动力学===
===Quantum electrodynamics 量子电动力学===