Zooming in on fermions and quantum gravity

Astrid Eichhorn*, Stefan Lippoldt, Marc Schiffer

*Corresponding author for this work

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Abstract

We zoom in on the microscopic dynamics for fermions and quantum gravity within the asymptotic-safety paradigm. A key finding of our study is the unavoidable presence of a nonminimal derivative coupling between the curvature and fermion fields in the ultraviolet. Its backreaction on the properties of the Reuter fixed point remains small for finite fermion numbers within a bounded range. This constitutes a nontrivial test of the asymptotic-safety scenario for gravity and fermionic matter, additionally supplemented by our studies of the momentum-dependent vertex flow which indicate the subleading nature of higher-derivative couplings. Moreover our study provides further indications that the critical surface of the Reuter fixed point has a low dimensionality even in the presence of matter.

Original languageEnglish
Article number086002
JournalPhysical Review D
Volume99
Issue number8
Number of pages27
ISSN2470-0010
DOIs
Publication statusPublished - 15. Apr 2019

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