Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems
Abstract
Combining asymptotically safe quantum gravity with a tensor field theory, we exhibit the first example of a theory with gravity and scalar fields in four dimensions which may realize asymptotic safety at a non-vanishing value of the scalar quartic coupling. We first present (further) evidence that in the asymptotic-safety paradigm, quantum fluctuations of gravity generically screen the quartic couplings in (multi-)scalar models. For a tensor field theory in which the scalar field transforms under an internal symmetry, this has the effect of replacing asymptotic freedom, recently discovered at large on a fixed flat background, by an interacting fixed point in the presence of quantum gravity. The fixed point originates from the competition between the effects of the matter self-interactions which, contrary to the usual scalar models, are antiscreening, and the screening gravitational effects.
Cite
@article{arxiv.2501.10307,
title = {Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems},
author = {Astrid Eichhorn and Razvan Gurau and Zois Gyftopoulos},
journal= {arXiv preprint arXiv:2501.10307},
year = {2025}
}