Quantum gravity is non-renormalizable
Standard perturbative treatments of general relativity yield a non-renormalizable theory, which is typically addressed by treating it as an effective field theory.
The claim that quantum gravity (specifically perturbative general relativity) is non-renormalizable is standard consensus in theoretical physics and is directly referenced as a foundational premise in multiple papers treating gravity as an effective field theory.
Sergio Barbosa, Philippe Brax, Sylvain Fichet, Lucas de Souza. Running Love numbers and the Effective Field Theory of gravity. 2025. https://doi.org/10.1088/1475-7516/2025/07/071
Discusses higher derivative corrections and operators arising from the effective field theory of gravity.
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F. Loebbert, J. Plefka. Quantum Gravitational Contributions to the Standard Model Effective Potential and Vacuum Stability. 2015. https://doi.org/10.1142/S0217732315501898
Explicitly notes that the non-renormalizability of Einstein gravity induces higher dimension operators at the one-loop level.
T. Guerreiro, F. Coradeschi, A. Frassino, J. R. West, E. J. Schioppa. Quantum signatures in nonlinear gravitational waves. 2021. https://doi.org/10.22331/q-2022-12-19-879
States that the effective quantum field theory description of gravity is non-renormalizable while still allowing for predictions.
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