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Einstein gravity as spontaneously broken Weyl gravity

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Abstract

We study the locally conformal invariant Weyl theory of gravitation and introduce a conformally coupled scalar field. Einstein gravity is induced by spontaneous breaking of the local conformal symmetry in an effective long range approximation. The effective potential for the scalar field is calculated at the one-loop level up to curvature squared in order in an arbitrary curved background. The non-zero vacuum expectation value of the scalar field induces the dimensional Einstein's gravitational coupling constant stably in case ofR > 0. ForR < 0, the phase transition occurs from the symmetric phase to the broken phase as the curvature decreases. This theory may be an attractive candidate for the primordial inflationary universe scenario.

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Authors and Affiliations

  1. Department of Physics, Osaka University, Toyonaka, 560, Osaka, Japan

    Naoki Matsuo

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  1. Naoki Matsuo
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Matsuo, N. Einstein gravity as spontaneously broken Weyl gravity. Gen Relat Gravit 22, 561–593 (1990). https://doi.org/10.1007/BF00756230

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