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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Dangerously irrelevant operator ： ウィキペディア英語版 Dangerously irrelevant operator In statistical mechanics and quantum field theory, a dangerously irrelevant operator (or dangerous irrelevant operator) is an operator which is irrelevant, yet affects the infrared (IR) physics significantly because the vacuum expectation value (VEV) of some field depends sensitively upon the operator. ==Example== Let us suppose there is a field $\backslash phi$ with a potential depending upon two parameters, ''a'' and ''b''. :$V\backslash left(\backslash phi\backslash right)=-a\; \backslash phi^\backslash alpha\; +\; b\backslash phi^\backslash beta$ Let us also suppose that ''a'' is positive and nonzero and $\backslash beta$ > $\backslash alpha$. If ''b'' is zero, there is no stable equilibrium. If the scaling dimension of $\backslash phi$ is ''c'', then the scaling dimension of ''b'' is $d-\backslash beta\; c$ where ''d'' is the number of dimensions. It is clear that if the scaling dimension of ''b'' is negative, ''b'' is an irrelevant parameter. However, the crucial point is, that the VEV :$\backslash langle\backslash phi\backslash rangle=\backslash left(\backslash frac\backslash right)^\}=\backslash left(\backslash frac\backslash right)^\}b^\}$. depends very sensitively upon ''b'', at least for small values of ''b''. Because the nature of infrared physics also depends upon the VEV, it looks very different even for a tiny change in ''b'' not because the physics in the vicinity of $\backslash phi=0$ changes much — it hardly changes at all — but because the VEV we are expanding about has changed enormously. Supersymmetric models with a modulus can often have dangerously irrelevant parameters. 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「Dangerously irrelevant operator」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.