Quantum Spacetime and the Renormalization Group: Progress and Visions

Pereira, Antônio D.

doi:10.1007/978-3-030-38941-3_3

Cited by 26 publications

(25 citation statements)

References 148 publications

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“…In the case of asymptotic safety, the symmetry is quantum scale symmetry [73] in the UV. For a recent review of asymptotic safety in QFTs, see [88]; for reviews of asymptotically safe gravity (with matter) see, e.g., [86,[89][90][91][92][93].…”

Section: Jhep08(2020)111mentioning

confidence: 99%

Predictive power of grand unification from quantum gravity

Eichhorn

Held

Wetterich

2020

J. High Energ. Phys.

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If a grand-unified extension of the asymptotically safe Reuter fixed-point for quantum gravity exists, it determines free parameters of the grand-unified scalar potential. All quartic couplings take their fixed-point values in the trans-Planckian regime. They are irrelevant parameters that are, in principle, computable for a given particle content of the grand unified model. In turn, the direction of spontaneous breaking of the grand-unified gauge symmetry becomes predictable. For the flow of the couplings below the Planck mass, gauge and Yukawa interactions compete for the determination of the minimum of the effective potential.

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Section: Jhep08(2020)111mentioning

confidence: 99%

Predictive power of grand unification from quantum gravity

Eichhorn

Held

Wetterich

2020

J. High Energ. Phys.

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“…At its core lies the implementation of the Wilsonian idea of a coarse graining operation which progressively eliminates short scale fluctuations. Indeed, all explicit calculations within truncated RG flows find evidence for the existence of such a fixed point, defining the Reuter universality class, providing compelling indications for asymptotic safety in Euclidean gravity, see, e.g., [47][48][49][50][51][52][53] for recent reviews and introductions. Rephrased in a lattice-like language, such a universality class enables one to take a universal continuum limit.…”

Section: Jhep12(2020)131mentioning

confidence: 99%

The phase diagram of the multi-matrix model with ABAB interaction from functional renormalization

Eichhorn

Pereira

Pithis

2020

J. High Energ. Phys.

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At criticality, discrete quantum-gravity models are expected to give rise to continuum spacetime. Recent progress has established the functional renormalization group method in the context of such models as a practical tool to study their critical properties and to chart their phase diagrams. Here, we apply these techniques to the multi-matrix model with ABAB interaction potentially relevant for Lorentzian quantum gravity in 3 dimensions. We characterize the fixed-point structure and phase diagram of this model, paving the way for functional RG studies of more general multi-matrix or tensor models encoding causality and subjecting the technique to another strong test of its performance in discrete quantum gravity by comparing to known results.

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“…The importance of symmetry-identities has been emphasized in [261]. This method could in the future provide further evidence for asymptotic safety, see [262] for a discussion, once the systematic uncertainties are reduced by suitable extensions of the truncation, and an understanding of the emergent geometries has been developed.…”

Section: Additional Methods For Asymptotic Safetymentioning

confidence: 99%

Critical Reflections on Asymptotically Safe Gravity

et al. 2020

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Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field theories, in particular for quantum gravity. Significant progress on this program has led to a first characterization of the Reuter fixed point. Further advancement in our understanding of the nature of quantum spacetime requires addressing a number of open questions and challenges. Here, we aim at providing a critical reflection on the state of the art in the asymptotic safety program, specifying and elaborating on open questions of both technical and conceptual nature. We also point out systematic pathways, in various stages of practical implementation, toward answering them. Finally, we also take the opportunity to clarify some common misunderstandings regarding the program.

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Quantum Spacetime and the Renormalization Group: Progress and Visions

Abstract: 1 See also the very recent results from the Event Horizon Telescope in [7], in very good agreement with GR predictions. 2 Of course, this assertion is restricted to path-integral approaches to quantum gravity.

Cited by 26 publications

References 148 publications

Predictive power of grand unification from quantum gravity

Predictive power of grand unification from quantum gravity

The phase diagram of the multi-matrix model with ABAB interaction from functional renormalization

Critical Reflections on Asymptotically Safe Gravity

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