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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 Soler model ： ウィキペディア英語版 Soler model The Soler model is a quantum field theory model of Dirac fermions interacting via four fermion interactions in 3 spatial and 1 time dimension. It was introduced in 1970 by Mario Soler as a toy model of self-interacting electron. This model is described by the Lagrangian density :$\backslash mathcal=\backslash overline\; \backslash left(i\backslash partial\backslash !\backslash !\backslash !/-m\; \backslash right)\; \backslash psi\; +\; \backslash frac\backslash left(\backslash overline\; \backslash psi\backslash right)^2$ where $g$ is the coupling constant, $\backslash partial\backslash !\backslash !\backslash !/=\backslash sum\_^3\backslash gamma^\backslash mu\backslash frac$ in the Feynman slash notations, $\backslash overline=\backslash psi^$ *\gamma^0. Here $\backslash gamma^\backslash mu$, $0\backslash le\backslash mu\backslash le\; 3$, are Dirac gamma matrices. The corresponding equation can be written as :$i\backslash frac\backslash psi=-i\backslash sum\_^\backslash alpha^j\backslash frac\backslash psi+m\backslash beta\backslash psi-g(\backslash overline\; \backslash psi)\backslash beta\backslash psi$, where $\backslash alpha^j$, $1\backslash le\; j\backslash le\; 3$, and $\backslash beta$ are the Dirac matrices. In one dimension, this model is known as the massive Gross-Neveu model. ==Generalizations== A commonly considered generalization is :$\backslash mathcal=\backslash overline\; \backslash left(i\backslash partial\backslash !\backslash !\backslash !/-m\; \backslash right)\; \backslash psi\; +\; g\backslash frac\}$ with $k>0$, or even :$\backslash mathcal=\backslash overline\; \backslash left(i\backslash partial\backslash !\backslash !\backslash !/-m\; \backslash right)\; \backslash psi\; +\; F\backslash left(\backslash overline\; \backslash psi\backslash right)$, where $F$ is a smooth function. 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「Soler model」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.