Disassembling the Clockwork Mechanism
High Energy Physics - Phenomenology
2017-10-25 v2 High Energy Physics - Theory
Abstract
The clockwork mechanism is a means of naturally generating exponential hierarchies in theories without significant hierarchies among fundamental parameters. We emphasize the role of interactions in the clockwork mechanism, demonstrating that clockwork is an intrinsically abelian phenomenon precluded in non-abelian theories such as Yang-Mills, non-linear sigma models, and gravity. We also show that clockwork is not realized in extra-dimensional theories through purely geometric effects, but may be generated by appropriate localization of zero modes.
Cite
@article{arxiv.1704.07831,
title = {Disassembling the Clockwork Mechanism},
author = {Nathaniel Craig and Isabel Garcia Garcia and Dave Sutherland},
journal= {arXiv preprint arXiv:1704.07831},
year = {2017}
}
Comments
30 pages plus appendices, 4 figures. v2: Clarifications, minor changes, and comment on 1705.10162 added. Conclusions unchanged