方法对比

	重整化群方程	费曼图	部分子分布函数（PDF）拟合
领域	粒子物理学	粒子物理学	粒子物理学
方法族	Process / pipeline	Process / pipeline	Process / pipeline
起源年份	1970	1949	1969
提出者	Curtis Callan and David Gross	Richard Feynman	James Bjorken and collaborators
类型	Scale dependence framework	Visualization and calculation framework	QCD framework
开创性文献	Callan, C. G. (1970). Broken scale invariance in scalar field theory. Physical Review D, 2(6), 1541.	Feynman, R. P. (1949). The Theory of Positrons. Physical Review, 76(6), 749–759.	Bjorken, J. D. (1969). Asymptotic sum rules at infinite momentum. Physical Review, 179(5), 1547.
别名	RGE, running couplings, beta function evolution	Feynman graph, interaction diagram	PDF, structure function, parton model
相关	3	3	3
摘要	Renormalization Group Equations (RGEs) describe how the coupling constants and masses of a quantum field theory evolve with energy scale. They are fundamental tools for understanding the scale dependence of physics, predicting the behavior of coupling strengths at different energies, and connecting high-energy physics to low-energy precision measurements.	Feynman diagrams are graphical representations of particle interactions introduced by Richard Feynman in 1949. They provide an intuitive and systematic way to visualize and calculate amplitudes for quantum field theory processes, converting complex mathematical expressions into geometric pictures that reveal the underlying physics.	Parton Distribution Function (PDF) fitting is the process of determining the probability distributions of quarks and gluons inside hadrons using high-energy collision data. PDFs are fundamental inputs to all hadron collider phenomenology, essential for predicting cross-sections, designing triggers, and interpreting new physics searches at the Large Hadron Collider.