Coupling of Dirac Particle and Gravitational Field
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概要
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By using legs connection we investigate the general relativistic Dirac equation which is invariant under the general coordinate transformations and spin transformations. We obtain the four-dimensional representation for the generalized Dirac matrices by introducing the six legs and the concept of sedenion conjugate. It is shown that Fermi-Fermi interaction term must be added to the original Lagrangian density, if the legs connection is regarded as independent field quantity. The electromagnetic field is also introduced in connection with the complex legs. Finally, we consider the relation between the spin transformation and Pauli-Gursey type transformation.
- 理論物理学刊行会の論文
- 1960-08-25
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