Gravitational Field as a Generalized Gauge Field

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概要

• 論文の詳細を見る

• It is shown that a symmetric tensor field of the second rank A_<μν>(x) should be introduced in order to retain the invariance of the action-integral under a generalized translation x^μ→x^μ+ξ^μ(x), provided that the original action-integral is invariant under inhomogeneous Lorentz transformations. It is further proved that the generalized gauge field A_<μν> should appear in the Lagrangian in exactly the same fashion as the metric tensor g_<μν> does in Einstein's theory of gravitation. Some general feature is also discussed with respect to a law of conservation of some physical quantity which becomes no longer valid when the interaction with the generalized gauge field takes place, provided that the associated group is non-Abelian.

• 理論物理学刊行会の論文
• 1971-02-25

著者

• FUKUYAMA Takeshi

  Department of Physics, Ritsumeikan University

• Fukuyama Takeshi

  Department Of Physics And R-giro Ritsumeikan University

• Fukuyama Takeshi

  Department Of Physics Osaka University

• UTIYAMA Ryoyu

  Department of Physics, Osaka University

• Utiyama Ryoyu

  Department Of Physics Osaka University

• Utiyama Ryoyu

  Department Of Physics Osaka Imperial University.

• FUKUYAMA Takeshi

  Department of Physics, Osaka University

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