Gravity from Poincare Gauge Theory of the Fundamental particles. V : The Extended Bach-Lanczos Identity
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概要
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In the Riemann-Cartan space-time we prove the extended form of the Bach-Lanczos identity, δ∫ed^4x(F_<ijmn>F^<mnij>-4F_<ij>F^<ij>+F^2)≡0, where δ denotes that infinitesimal variations in the integral are taken with respect to both the translation gauge field and the Lorentz gauge field, and F_<ijmn> stands for the curvature tensor formed of the Lorentz gauge field; F_<ij>=η^<mn>F_<imjn> and F=η^<ij>F_<ij>. By virtue of this identity, there are five independent invariants quadratic in the Lorentz gauge field strength, when one derives field equations from the action pricipe.
- 理論物理学刊行会の論文
- 1981-02-25
著者
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Shirafuji Takeshi
Physics Department Saitama University
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HAYASHI Kenji
Max-Planck-Institut fur Physik und Astrophysik Munchen
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HAYASHI Kenji
Institute of Biological Sciences, University of Tsukuba
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SHIRAFUJI Tadahiko
Department of Physics, Chiba University
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Hayashi K
北海道大学水産科学研究科
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HAYASI Kenji
Institute of Physics, University of Tokyo
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Hayashi Kenji
Institute Of Physics Tokyo University
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Hayashi Kenji
Institute Of Physicsm Kitasato University
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Hayashi Kenji
Max-planck Institut Fur Physik Und Astrophysik
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Hayashi Kenji
Institute Of Biological Sciences University Of Tsukuba
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HAYASHI Kenji
Institute of Physics, University of Tokyo
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HAYASHI Kenji
Institute of Physics, Kitasato University
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HAYASHI Kenji
Institute of Physics, Tokyo University
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HAYASHI kiyoshi
Faculty of Commerce, Meiji University
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