The correct microscopic theory of quantum gravity may be an interacting, scale-invariant, ‘asymptotically safe’ model. This Comment discusses the renormalization group’s role in defining asymptotic safety and understanding its consequences.
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References
Litim, D. F. & Sannino, F. J. High-Energy Phys. 12, 178 (2014).
Weinberg, S. Critical phenomena for field theorists. In Understanding the Fundamental Constituents of Matter (ed. Zichichi, A.) (Springer, 1978).
Reuter, M. Phys. Rev. D 57, 971 (1998).
Bonanno, A. et al. Front. Phys. 8, 269 (2020).
Pawlowski, J. M. & Reichert, M. Front. Phys. 8, 527 (2021).
Saueressig, F. Preprint at https://arxiv.org/abs/2302.14152 (2023).
Falls, K., Ohta, N. & Percacci, R. Phys. Lett. B 810, 135773 (2020).
Kluth, Y. & Litim, D. F. J. High-Energy Phys. 108, 026005 (2023).
Fehre, J., Litim, D. F., Pawlowski, J. M. & Reichert, M. Phys. Rev. Lett. 130, 081501 (2023).
Morris, T. R. J. High-Energy Phys. 11, 160 (2016).
Draper, T., Knorr, B., Ripken, C. & Saueressig, F. Phys. Rev. Lett. 125, 181301 (2020).
Loll, R. Class. Quant. Grav. 37, 013002 (2020).
Baldazzi, A., Percacci, R. & Zambelli, L. Phys. Rev. D 103, 076012 (2021).
Alkofer, R. et al. Ann. Phys. 421, 168282 (2020).
Kowalska, K., Pramanick, S. & Sessolo, E. M. J. High-Energy Phys. 08, 262 (2022).
Pastor-Gutiérrez, Á., Pawlowski, J. M. & Reichert, M. SciPost Phys. 15, 105 (2023).
Eichhorn, A. & Versteegen, F. J. High-Energy Phys. 1801, 30 (2018).
Shaposhnikov, M. & Wetterich, C. Phys. Lett. B 683, 196–200 (2010).
Eichhorn, A. & Held, A. Phys. Lett. B 777, 217–221 (2018).
Eichhorn, A. & Held, A. Phys. Rev. Lett. 121, 151302 (2018).
Eichhorn, A. & M. Schiffer, M. Preprint at https://arxiv.org/abs/2212.07456 (2022).
de Brito, G. P., Eichhorn, A. & Lino dos Santos, R. R. J. High-Energy Phys. 6, 13 (2022).
Reichert, M. & Smirnov, J. Phys. Rev. D 101, 063015 (2020).
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Eichhorn, A. The microscopic structure of quantum space-time and matter from a renormalization group perspective. Nat. Phys. 19, 1527–1529 (2023). https://doi.org/10.1038/s41567-023-02261-7
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DOI: https://doi.org/10.1038/s41567-023-02261-7