翻訳と辞書 Words near each other ・ Scaly-breasted lorikeet ・ Scaly-breasted munia ・ Scaly-breasted thrasher ・ Scaly-breasted woodpecker ・ Scaly-breasted wren-babbler ・ Scaly-crowned babbler ・ Scaly-crowned honeyeater ・ Scaligera Basket Verona ・ Scalimoli ・ Scalindua ・ Scalindua brodae ・ Scalindua wagneri ・ Scaling ・ Scaling (geometry) ・ Scaling and root planing ・ Scaling dimension ・ Scaling function ・ Scaling laws of transition ・ Scaling limit ・ Scaling pattern of occupancy ・ Scaling, North Yorkshire ・ Scaliola ・ Scaliola arenosa ・ Scaliola caledonica ・ Scaliola elata ・ Scaliolidae ・ Scalise ・ Scality ・ Scalix ・ Scallie 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 Scaling dimension ： ウィキペディア英語版 Scaling dimension In theoretical physics, scaling dimension, or simply dimension, of a local operator in a quantum field theory characterizes rescaling properties of the operator under spacetime dilations $x\backslash to\; \backslash lambda\; x$. If the quantum field theory is scale invariant, scaling dimensions of operators are fixed numbers, otherwise they are functions depending on the distance scale. == Scale invariant quantum field theory == In a scale invariant quantum field theory, by definition each operator ''O'' acquires under a dilatation $x\backslash to\; \backslash lambda\; x$ a factor $\backslash lambda^$, where $\backslash Delta$ is a number called the scaling dimension of ''O''. This implies in particular that the two point correlation function $\backslash langle\; O(x)\; O(0)\backslash rangle$ depends on the distance as $(x^2)^$. More generally, correlation functions of several local operators must depend on the distances in such a way that $$ \langle O_1(\lambda x_1) O_2(\lambda x_2)\ldots\rangle= \lambda^\langle O_1(x_1) O_2(x_2)\ldots\rangle It should be noted that most scale invariant theories are also conformally invariant, which imposes further constraints on correlation functions of local operators. 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「Scaling dimension」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.