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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 Plebanski action ： ウィキペディア英語版 Plebanski action General relativity and supergravity in all dimensions meet each other at a common assumption: :''Any configuration space can be coordinatized by gauge fields $A^i\_a$, where the index $i$ is a Lie algebra index and $a$ is a spatial manifold index.'' Using these assumptions one can construct an effective field theory in low energies for both. In this form the action of general relativity can be written in the form of the Plebanski action which can be constructed using the Palatini action to derive Einstein's field equations of general relativity. The form of the action introduced by Plebanski is: :$S\_\; =\; \backslash int\_\; \backslash epsilon\_\; B^\; \backslash wedge\; F^\; (A^i\_a)\; +\; \backslash phi\_\; B^\; \backslash wedge\; B^$ where :$i,\; j,\; l,\; k$ are internal indices, :$F$ is a curvature on the orthogonal group $SO(3,\; 1)$ and the connection variables (the gauge fields) are denoted by :$A^i\_a$. The symbol :$\backslash phi\_$ is the Lagrangian multiplier and :$\backslash epsilon\_$ is the antisymmetric symbol valued over $SO(3,\; 1)$. The specific definition :$B^\; =\; e^i\; \backslash wedge\; e^j$, which formally satisfies the Einstein's field equation of general relativity. Application is to the Barrett–Crane model. ==See also== * tetradic Palatini action * Barrett–Crane model * BF model 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「Plebanski action」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.