Lorentz Invariant Theory of Gravitation : Gravitational Interaction of Spin-1/2 Particles

概要

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The Lorentz invariant theory of gravitation is reexamined when the source of gravity is spin-1/2 particles and gauge fields such as the electromagnetic field. Starting with conventional field theory of a symmetric, massless tensor field coupled to the symmetrized energy-momentum tensor of the source, we notice that in addition to the symmetric tensor field, a new antisymmetric tensor field is required to ensure consistency of the field equation. It is then shown that there are two satisfactory nonlinear theories of gravitation, which are degenerate in the classical limit. One of them is General Relativity based on the Riemann space-time. The other is a gravitational theory based on the Weitzenbock space-time with absolute parallelism. In the latter theory, which is called New General Relativity, an antisymmetric field produce physically observable effects.
理論物理学刊行会の論文
1979-09-25