PoS - Proceedings of Science
Volume 376 - Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019) - Workshop on Connecting Insights in Fundamental Physics: Standard Model and Beyond
Planck scale from broken local conformal invariance in Weyl geometry
I. Oda
Full text: pdf
Published on: August 18, 2020
Abstract
We show that in a quadratic gravity based on Weyl's conformal geometry, the Planck mass scale can be
generated from quantum effects of the gravitational field and the Weyl gauge field via the Coleman-Weinberg
mechanism where a local scale symmetry is broken. At the same time, the Weyl gauge field acquires a mass
less than the Planck mass by absorbing the scalar graviton. The shape of the effective potential is almost flat
owing to a gravitational character and high symmetries, so our model would provide for an attractive model
for the inflationary universe. We also present a toy model showing spontaneous symmetry breakdown of
a global scale symmetry by moving from the Jordan frame to the Einstein one, and point out its problems.
DOI: https://doi.org/10.22323/1.376.0070
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