翻訳と辞書 Words near each other ・ (+)-trans-carveol dehydrogenase ・ (-)-2β-(1,2,4-Oxadiazol-5-methyl)-3β-phenyltropane ・ (-)-2β-(3-(4-Methylphenyl)isoxazol-5-yl)-3β-(4-chlorophenyl)tropane ・ 't Fornuis ・ 't Ganzenest ・ 't Goy ・ 't Gulden Zeepaert (ship, 1626) ・ 't Haantje ・ 't Haantje, Drenthe ・ 't Haantje, North Brabant ・ 't Haantje, Overijssel ・ 't Harde ・ 't Harde railway station ・ 't Hof van Commerce ・ 't Hooft operator ・ 't Hooft symbol ・ 't Hooft–Polyakov monopole ・ 't Is Genoeg ・ 't Is OK ・ 't Kabel ・ 't Kapoentje ・ 't Klooster ・ 't Koetshuis ・ 't kofschip ・ 't Lam, Woudsend ・ 't Misverstant ・ 't Nonnetje ・ 't Nopeind ・ 't Pallieterke ・ 't Schulten Hues 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 't Hooft symbol The 't Hooft η symbol is a symbol which allows one to express the generators of the SU(2) Lie algebra in terms of the generators of Lorentz algebra. The symbol is a blend between the Kronecker delta and the Levi-Civita symbol. It was introduced by Gerard 't Hooft. It is used in the construction of the BPST instanton. η''a''μν is the 't Hooft symbol: : In other words they are defined by ($a=1,2,3\; ;~\; \backslash mu,\backslash nu=1,2,3,4\; ;~\; \backslash epsilon\_=+1$) :$\backslash eta\_\; =\; \backslash epsilon\_\; +\; \backslash delta\_\; \backslash delta\_\; -\; \backslash delta\_\; \backslash delta\_$ :$\backslash bar\; \backslash eta\_\; =\; \backslash epsilon\_\; -\; \backslash delta\_\; \backslash delta\_\; +\; \backslash delta\_\; \backslash delta\_$ The (anti)self-duality properties are :$$ \eta_ = \frac \epsilon_ \eta_ \ , \qquad \bar\eta_ = - \frac \epsilon_ \bar\eta_ \ Some other properties are :$$ \epsilon_ \eta_ \eta_ = \delta_ \eta_ + \delta_ \eta_ - \delta_ \eta_ - \delta_ \eta_ :$$ \eta_ \eta_ = \delta_ \delta_ - \delta_ \delta_ + \epsilon_ \ , :$$ \eta_ \eta_ = \delta_ \delta_ + \epsilon_ \eta_ \ , :$$ \epsilon_ \eta_ = \delta_ \eta_ + \delta_ \eta_ - \delta_ \eta_ \ , :$$ \eta_ \eta_ = 12 \ ,\quad \eta_ \eta_ = 4 \delta_ \ ,\quad \eta_ \eta_ = 3 \delta_ \ . The same holds for $\backslash bar\backslash eta$ except for :$$ \bar\eta_ \bar\eta_ = \delta_ \delta_ - \delta_ \delta_ - \epsilon_ \ . and :$$ \epsilon_ \bar\eta_ = -\delta_ \bar\eta_ - \delta_ \bar\eta_ + \delta_ \bar\eta_ \ , Obviously $\backslash eta\_\; \backslash bar\backslash eta\_\; =\; 0$ due to different duality properties. Many properties of these are tabulated in the appendix of 't Hooft's paper and also in the article by Belitsky et al. ==See also== *Instanton 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「't Hooft symbol」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.