翻訳と辞書 Words near each other ・ Weyinmi Efejuku ・ Weyl (crater) ・ Weyl algebra ・ Weyl character formula ・ Weyl curvature hypothesis ・ Weyl distance function ・ Weyl equation ・ Weyl group ・ Weyl integral ・ Weyl law ・ Weyl metrics ・ Weyl module ・ Weyl scalar ・ Weyl semimetal ・ Weyl tensor ・ Weyl transformation ・ Weyl's inequality ・ Weyl's lemma (Laplace equation) ・ Weyl's postulate ・ Weyl's theorem ・ Weyl's theorem on complete reducibility ・ Weyl's tile argument ・ Weylan Harding ・ Weyland ・ Weyland ringtail possum ・ Weylin Hotel ・ Weyl–Brauer matrices ・ Weyl–Schouten theorem ・ Weyl–von Neumann theorem ・ Weyl−Lewis−Papapetrou coordinates 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 Weyl transformation ： ウィキペディア英語版 Weyl transformation :''See also Wigner–Weyl transform, for another definition of the Weyl transform.'' In theoretical physics, the Weyl transformation, named after Hermann Weyl, is a local rescaling of the metric tensor: :$g\_\backslash rightarrow\; e^g\_$ which produces another metric in the same conformal class. A theory or an expression invariant under this transformation is called conformally invariant, or is said to possess Weyl symmetry. The Weyl symmetry is an important symmetry in conformal field theory. It is, for example, a symmetry of the Polyakov action. The ordinary Levi-Civita connection and associated spin connections are not invariant under Weyl transformations. An appropriately invariant notion is the Weyl connection, which is one way of specifying the structure of a conformal connection. A quantity φ has conformal weight ''k'' if, under the Weyl transformation, it transforms via :$$ \varphi \to \varphi e^. Thus conformally weighted quantities belong to certain density bundles; see also conformal dimension. Let ''A''μ be the connection one-form associated to the Levi-Civita connection of ''g''. Introduce a connection that depends also on an initial one-form $\backslash partial\_\backslash mu\backslash omega$ via :$$ B_\mu = A_\mu + \partial_\mu \omega. Then $D\_\backslash mu\; \backslash varphi\; \backslash equiv\; \backslash partial\_\backslash mu\; \backslash varphi\; +\; k\; B\_\backslash mu\; \backslash varphi$ is covariant and has conformal weight $k\; -\; 1$. ==Literature== * Hermann Weyl, ''Raum, Zeit, Materie'' (Space, Time, Matter), Lectures on General Relativity, in German. Berlin, Springer 1921, with later reprints in 1993. ISBN 3-540-56978-2 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「Weyl transformation」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.