手法を比較

	有効場理論	ファインマン図	VEGASモンテカルロ
分野	素粒子物理学	素粒子物理学	素粒子物理学
系統	Process / pipeline	Process / pipeline	Process / pipeline
提唱年	1979	1949	1978
提唱者	Steven Weinberg	Richard Feynman	Peter Lepage
種類	Model-independent approach	Visualization and calculation framework	Adaptive sampling algorithm
原典	Weinberg, S. (1979). Baryon and lepton nonconserving processes. Physical Review Letters, 43(21), 1566.	Feynman, R. P. (1949). The Theory of Positrons. Physical Review, 76(6), 749–759.	Lepage, G. P. (1978). A new algorithm for adaptive multidimensional integration. Journal of Computational Physics, 27(2), 192–203.
別名	EFT, effective theory, operator product expansion	Feynman graph, interaction diagram	VEGAS algorithm, adaptive importance sampling, multidimensional integration
関連	3	3	3
概要	Effective Field Theory (EFT) is a general framework for studying physics at low energies in terms of the relevant degrees of freedom, without requiring complete knowledge of high-energy physics. By expanding in powers of energy, EFT provides model-independent parameterizations of new physics effects and systematic methods for computing precision predictions of the Standard Model.	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.	VEGAS is an adaptive Monte Carlo algorithm for numerical integration of multidimensional functions, particularly useful for high-dimensional integrals common in particle physics calculations. By adaptively refining the sampling distribution to concentrate points in high-contribution regions, VEGAS dramatically improves integration efficiency compared to naive Monte Carlo.