The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
Abstract
We discover a weak-gravity bound in scalar-gravity systems in the asymptotic-safety paradigm. The weak-gravity bound arises in these systems under the approximations we make, when gravitational fluctuations exceed a critical strength. Beyond this critical strength, gravitational fluctuations can generate complex fixed-point values in higher-order scalar interactions. Asymptotic safety can thus only be realized at sufficiently weak gravitational interactions. We find that within truncations of the matter-gravity dynamics, the fixed point lies beyond the critical strength, unless spinning matter, i.e., fermions and vectors, is also included in the model.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- November 2021
- DOI:
- 10.1007/JHEP11(2021)110
- arXiv:
- arXiv:2107.03839
- Bibcode:
- 2021JHEP...11..110D
- Keywords:
-
- Global Symmetries;
- Models of Quantum Gravity;
- Renormalization Group;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 18 pages + appendix, 18 figures. Version identical with published one, except for correction of typo in Eq. 3.6