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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 Nonlocal Lagrangian ： ウィキペディア英語版 Nonlocal Lagrangian In field theory, a nonlocal Lagrangian is a Lagrangian, a type of functional $\backslash mathcal()$ which contains terms which are ''nonlocal'' in the fields $\backslash \; \backslash phi(x)$ i.e. which are not polynomials or functions of the fields or their derivatives evaluated at a single point in the space of dynamical parameters (e.g. space-time). Examples of such nonlocal Lagrangians might be :$\backslash mathcal\; =\; \backslash frac(\backslash partial\_x\; \backslash phi(x))^2\; -\; \backslash fracm^2\; \backslash phi(x)^2\; +\; \backslash phi(x)\; \backslash int\; \backslash ,\; d^ny\}$ :$\backslash mathcal\; =\; -\; \backslash frac\backslash mathcal\_(1+\backslash frac)\backslash mathcal^$ : *\cdot \nabla \psi\right )-\frac\int dt \, d^dx \, d^dy \, V(\vec-\vec)\psi^ *(\vec)\psi(\vec)\psi^ *(\vec)\psi(\vec) :The Wess–Zumino–Witten action Actions obtained from nonlocal Lagrangians are called ''nonlocal actions''. The actions appearing in the fundamental theories of physics, such as the Standard Model, are local actions—nonlocal actions play a part in theories which attempt to go beyond the Standard Model, and also appear in some effective field theories. Nonlocalization of a local action is also an essential aspect of some regularization procedures. Noncommutative quantum field theory also gives rise to nonlocal actions. 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「Nonlocal Lagrangian」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.