Asymptotic safety of gravity with matter
By N. Christiansen, D. Litim, Jan M. Pawlowski, M. Reichert. 2017
158 citations recorded by the source corpus.
We study the asymptotic safety conjecture for quantum gravity in the presence of matter fields. A general line of reasoning is put forward explaining why gravitons dominate the high-energy behaviour, largely independently of the matter fields as long as these remain sufficiently weakly coupled. Our considerations are put to work for gravity coupled to Yang-Mills theories with the help of the functional renormalisation group. In an expansion about flat backgrounds, explicit results for beta functions, fixed points, universal exponents, and scaling solutions are given in systematic approximations exploiting running propagators, vertices, and background couplings. Invariably, we find that the gauge coupling becomes asymptotically free while the gravitational sector becomes asymptotically safe. The dependence on matter field multiplicities is weak. We also explain how the scheme dependence, which is more pronounced, can be handled without changing the physics. Our findings offer a new interpretation of many earlier results, which is explained in detail. The results generalise to theories with minimally coupled scalar and fermionic matter. Some implications for the ultraviolet closure of the Standard Model or its extensions are given.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/60c85872c331df4b36bf40809699d605d44a8dd1
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In Nuclear and High Energy Physics
Citations in the corpus
- An Asymptotically Safe Guide to Quantum Gravity and Matter (2018, background): “One might conclude that extensions of the truncation are required, going beyond the background- approximation for f (R̃) (see Christiansen et al., 2018, see section 4.2).”
- The nonperturbative functional renormalization group and its applications (2020, background): “been studied in various truncations in [1114, 1116, 1182, 1277–1282], some of which go beyond minimal coupling.”