翻訳と辞書 Words near each other ・ Dimethylhexane ・ Dimethylhistidine N-methyltransferase ・ Dimethylhydrazine ・ Dimethyllysergamide ・ Dimensional Fact Model ・ Dimensional Fund Advisors ・ Dimensional Innovations ・ Dimensional Insight ・ Dimensional Markup language ・ Dimensional metrology ・ Dimensional modeling ・ Dimensional models of personality disorders ・ Dimensional operator ・ Dimensional reduction ・ Dimensional regularization ・ Dimensional transmutation ・ Dimensional weight ・ Dimensionality reduction ・ Dimensionaut ・ Dimensioners ・ DimensioneX Multiplayer Engine ・ Dimensioning ・ Dimensionless momentum-depth relationship in open-channel flow ・ Dimensionless numbers in fluid mechanics ・ Dimensionless physical constant ・ Dimensionless quantity ・ Dimensionless Specific Energy Diagrams for Open Channel Flow ・ Dimensions & Extensions ・ Dimensions (animation) ・ Dimensions (Believer album) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Dimensional transmutation ： ウィキペディア英語版 Dimensional transmutation In particle physics, dimensional transmutation is a physical mechanism providing a linkage between a dimensionless parameter and a dimensionful parameter. In classical field theory, such as gauge theory in four-dimensional spacetime, the coupling constant is a dimensionless constant. However, upon quantization, logarithmic divergences in one-loop diagrams of perturbation theory imply that this "constant" actually depends on the typical energy scale of the processes under considerations, called the renormalization group (RG) scale. This "running" of the coupling is specified by the beta-function of the renormalization group. Consequently, the interaction may be characterised by a dimensionful parameter , namely the value of the RG scale at which the coupling constant diverges. In the case of quantum chromodynamics, this energy scale is called the QCD scale, and its value 220 MeV supplants the role of the original dimensionless coupling constant in the form of the logarithm (at one-loop) of the ratio and . Perturbation theory, which produced this type of running formula, is only valid for a (dimensionless) coupling ≪ 1. In the case of QCD, the energy scale is an infrared cutoff, such that implies , with the RG scale. On the other hand, in the case of theories such as QED, is an ultraviolet cutoff, such that implies . This is also a way of saying that the conformal symmetry of the classical theory is anomalously broken upon quantization, thereby setting up a mass scale. See conformal anomaly. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Dimensional transmutation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.