Planck and Electroweak Scales Emerging from Weyl Conformal Gravity
High Energy Physics - Theory
2019-03-25 v1 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
We show that the Planck mass scale can be generated from conformal gravity in the Weyl conformal geometry via the Coleman-Weinberg mechanism of dimensional transmutation where quantum corrections stemming from the gravitational field and the Weyl gauge field trigger the symmetry breakdown of a local Weyl symmetry. It is also shown that the vacuum expectation value of a scalar field is transmitted to a sector of the standard model through a potential involving the scale invariant part and the contribution from the Coleman-Weinberg mechanism, thereby generating the electroweak scale.
Cite
@article{arxiv.1903.09309,
title = {Planck and Electroweak Scales Emerging from Weyl Conformal Gravity},
author = {Ichiro Oda},
journal= {arXiv preprint arXiv:1903.09309},
year = {2019}
}
Comments
12 pages; Contribution to the Proceedings of the Corfu Summer Institute 2018, Aug-Sep 2018, Corfu, Greece