Weak-gravity bound in asymptotically safe gravity-gauge systems

Eichhorn, Astrid; Kwapisz, Jan; Schiffer, Marc

doi:10.1103/physrevd.105.106022

Cited by 21 publications

(6 citation statements)

References 229 publications

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“…The orange circle and red diamond represent metric gravity in the Einstein-Hilbert truncation (EH) and its extension to quadratic order in the Ricci tensor (Ric 2 ) [54], while the blue square represents Hilbert-Palatini gravity (HP) to the second order in the Ricci tensor found in this work using on-shell reduction Inspecting the results of Table 1 more closely, we observe that specifically the fixed-point value of the Newton coupling is somewhat smaller. This can serve as an indication that a quantum gravity theory with independent connection variables may more easily be compatible with weak-gravity bounds [65][66][67][68][69][70][71][72][73][74][75] which arise from the demand for gravitymatter systems to be compatible with particle-physics observations.…”

Section: Resultsmentioning

confidence: 98%

Asymptotically safe Hilbert–Palatini gravity in an on-shell reduction scheme

Gies

Salek

2023

Eur. Phys. J. C

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We study the renormalization flow of Hilbert–Palatini gravity to lowest non-trivial order. We find evidence for an asymptotically safe high-energy completion based on the existence of an ultraviolet fixed point similar to the Reuter fixed point of quantum Einstein gravity. In order to manage the quantization of the large number of independent degrees of freedom in terms of the metric as well as the connection, we use an on-shell reduction scheme: for this, we quantize all degrees of freedom beyond Einstein gravity at a given order that remain after using the equations of motion at the preceding order. In this way, we can straightforwardly keep track of the differences emerging from quantizing Hilbert–Palatini gravity in comparison with Einstein gravity. To lowest non-trivial order, the difference is parametrized by fluctuations of an additional abelian gauge field. The critical properties of the ultraviolet fixed point of Hilbert–Palatini gravity are similar to those of the Reuter fixed point, occurring at a smaller Newton coupling and exhibiting more stable higher order exponents.

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Section: Resultsmentioning

confidence: 98%

Asymptotically safe Hilbert–Palatini gravity in an on-shell reduction scheme

Gies

Salek

2023

Eur. Phys. J. C

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“…Finally, one has to include gravity-induced matter interactions as discussed in [21,28,55,77] that are relevant for the discussion of a potential weak gravity bound, see [77,81,113].…”

Section: Fixed-point Higgs Potential and The Properties Of The Assm F...mentioning

confidence: 99%

The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking

Pastor-Gutiérrez,

Pawlowski,

Reichert

2023

SciPost Phys.

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We present a comprehensive non-perturbative study of the phase structure of the asymptotically safe Standard Model. The physics scales included range from the asymptotically safe trans-Planckian regime in the ultraviolet, the intermediate high-energy regime with electroweak symmetry breaking to strongly correlated QCD in the infrared. All flows are computed with a self-consistent functional renormalisation group approach, using a vertex expansion in the fluctuation fields. In particular, this approach takes care of all physical threshold effects and the respective decoupling of ultraviolet degrees of freedom. Standard Model and gravity couplings and masses are fixed by their experimental low energy values. Importantly, we accommodate for the difference between the top pole mass and its Euclidean analogue. Both, the correct mass determination and the threshold effects have a significant impact on the qualitative properties, and in particular on the stability properties of the specific ultraviolet-infrared trajectory with experimental Standard Model physics in the infrared. We show that in the present rather advanced approximation the matter part of the asymptotically safe Standard Model has the same number of relevant parameters as the Standard Model, and is asymptotically free. This result is based on the novel UV fixed point found in the present work: the fixed point Higgs potential is flat but has two relevant directions. These results and their analysis are accompanied by a thorough discussion of the systematic error of the present truncation, also important for systematic improvements.

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“…Non-trivial evidence is mounting for asymptotic safety in gravity-matter models with Standard-Model fields and interactions, e.g., [32,35,38,97,106,123,127,[131][132][133][134][135][136][137][138][139][140][141]. Additional studies focusing on scalar-gravity models [31,33,34,129,[142][143][144][145][146][147][148][149], fermion-gravity models [150][151][152][153][154][155][156] and vector-gravity models [36,122,[157][158][159][160][161] provide additional support for asymptotic safety in gravity-matter models. Open questions on gravity-matter models are reviewed together with the state-of-the-art in [162].…”

Section: Interplay Of Asymptotically Safe Gravity and Mattermentioning

confidence: 99%

Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm

Eichhorn

Santos

Wagner

2023

J. Cosmol. Astropart. Phys.

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Horndeski gravity is a popular contender for a phenomenological model of dynamical dark energy, and as such subject to observational constraints. In this work, we ask whether Horndeski gravity can be more than a phenomenological model and instead become a fundamental theory, which extends towards high energy scales and includes quantum effects. We find that within the asymptotic-safety paradigm, an ultraviolet completion of a simple class of models of Horndeski gravity is achievable, but places strong constraints on the couplings of the theory. These constraints are not compatible with dynamical dark energy. Further, we find a similar result in an effective-field theory approach to this class of models of Horndeski gravity: under the assumption that there is no new strongly-coupled physics below the Planck scale, quantum gravity fluctuations force the Horndeski couplings to be too small to achieve an explanation of dynamical dark energy.

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Weak-gravity bound in asymptotically safe gravity-gauge systems

Cited by 21 publications

References 229 publications

Asymptotically safe Hilbert–Palatini gravity in an on-shell reduction scheme

Asymptotically safe Hilbert–Palatini gravity in an on-shell reduction scheme

The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking

Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm

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