Price of Asymptotic Safety
High Energy Physics - Theory
2019-06-05 v2 High Energy Physics - Phenomenology
Abstract
All known examples of four dimensional quantum field theories with asymptotic freedom or asymptotic safety at weak coupling involve non-abelian gauge interactions. We demonstrate that this is not a coincidence: no weakly coupled fixed points, ultraviolet or otherwise, can be reliably generated in theories lacking gauge interactions. Implications for particle physics, critical phenomena, and conformal field theory are indicated.
Keywords
Cite
@article{arxiv.1801.08527,
title = {Price of Asymptotic Safety},
author = {Andrew D. Bond and Daniel F. Litim},
journal= {arXiv preprint arXiv:1801.08527},
year = {2019}
}
Comments
4 pages, 1 table. v2: discussion and outlook expanded, references added, to appear with PRL