Functional renormalization for 
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 quantum gravity

Kluth, Yannick

doi:10.1103/physrevd.106.106022

Cited by 13 publications

(3 citation statements)

References 106 publications

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“…Additionally, the gravity sector shows another two relevant directions: the cosmological constant and the scalar curvature (Ricci scalar). The number of relevant directions in the gravity sector is expected to increase to three, including the Ricci-scalar squared term, upon improving the truncation [64,117,[120][121][122].…”

Section: Ir-predictivity and Systematicsmentioning

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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Section: Ir-predictivity and Systematicsmentioning

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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“…Following a proposal by Weinberg [4] and early evidence in 2+ϵ dimensions [6][7][8], see also [9][10][11] for recent studies, a breakthrough came with Reuter's adaptation of functional Renormalization Group techniques [12][13][14] to quantum gravity [5]. With these techniques, compelling evidence for the requisite interacting RG fixed point has been collected, both in pure gravity and in gravity-matter theories, see [15][16][17][18][19][20][21][22][23] for early evidence and [24][25][26][27][28][29][30][31][32] and references therein for the most recent evidence, as well as [33][34][35][36][37][38][39][40][41] for recent reviews. There is a critical open question, namely whether the theory is physically viable in that it respects causality and unitarity.…”

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confidence: 99%

“…We thus perform a Wick-rotation, under which the higher-order couplings do not change signs. While a Wick-rotation is in general not available in a fully non-perturbative quantum-gravity setting, see, e.g., [110], there is mounting evidence for a nearperturbative nature of asymptotically safe quantum gravity [27,42,44,45,[111][112][113][114][115][116][117][118]. In such a near-perturbative setting, the theory may be dominated by small fluctuations of the metric about a Minkowski background, for which an analytical continuation is available, given a suitable analyticity structure of the propagator.…”

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confidence: 99%

Weak-gravity bound in asymptotically safe gravity-gauge systems

2022

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The weak-gravity bound has been discovered in asymptotically safe gravity-matter systems, where it limits the maximum strength of gravitational fluctuations. In the present paper, we explore it for the first time in systems with more than one gauge field to discover whether systems with 12 gauge fields (like the Standard Model) exhibit a weak-gravity bound and whether the gravitational fixed point evades it. Further, we test the robustness of the present and previous results on the weak-gravity bound by exploring their dependence on a gravitational gauge parameter. Finally, the existence of the weak-gravity bound also has important phenomenological consequences: it is key to a proposed mechanism that bounds the spacetime dimensionality from above to four or five dimensions. In this paper, we strengthen the evidence for this mechanism. Thus, the predictive power of the asymptotic safety paradigm could extend to parameters of the spacetime geometry, such that the four dimensionality of our Universe could be explained from first principles.

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Quantum Gravity from Dynamical Metric Fluctuations

Pawlowski,

Reichert

2023

Handbook of Quantum Gravity

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Functional renormalization for f(Rμνρσ) quantum gravity

Cited by 13 publications

References 106 publications

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

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

Weak-gravity bound in asymptotically safe gravity-gauge systems

Quantum Gravity from Dynamical Metric Fluctuations

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