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.
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).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Competing interests
The author declares no competing interests.
Rights and permissions
About this article
Cite this article
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
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41567-023-02261-7
- Springer Nature Limited