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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 Thirring model ： ウィキペディア英語版 Thirring model The Thirring model is an exactly solvable quantum field theory which describes the self-interactions of a Dirac field in (1+1) dimensions. ==Definition== The Thirring model is given by the Lagrangian density :$$ \mathcal= \overline(i\partial\!\!\!/-m)\psi -\frac\left(\overline\gamma^\mu\psi\right) \left(\overline\gamma_\mu \psi\right)\ where $\backslash psi=(\backslash psi\_+,\backslash psi\_-)$ is the field, ''g'' is the coupling constant, ''m'' is the mass, and $\backslash gamma^\backslash mu$, for $\backslash mu\; =\; 0,1$, are the two-dimensional gamma matrices. This is the unique model of (1+1)-dimensional, Dirac fermions with a local (self-)interaction. Indeed, since there are only 4 independent fields, because of the Pauli principle, all the quartic, local interactions are equivalent; and all higher power, local interactions vanish. (Interactions containing derivatives, such as $$ (\bar \psi\partial\!\!\!/\psi)^2, are not considered because they are non-renormalizable.) The correlation functions of the Thirring model (massive or massless) verify the Osterwalder-Schrader axioms, and hence the theory makes sense as a quantum field theory. 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「Thirring 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.