Working Paper Article Version 1 This version is not peer-reviewed

Fakeons, Quantum Gravity and the Correspondence Principle

Version 1 : Received: 26 November 2019 / Approved: 27 November 2019 / Online: 27 November 2019 (03:17:49 CET)

How to cite: Anselmi, D. Fakeons, Quantum Gravity and the Correspondence Principle. Preprints 2019, 2019110321 Anselmi, D. Fakeons, Quantum Gravity and the Correspondence Principle. Preprints 2019, 2019110321


The correspondence principle made of unitarity, locality and renormalizability has been very successful in quantum field theory. Among the other things, it helped us build the standard model. However, it also showed important limitations. For example, it failed to restrict the gauge group and the matter sector in a powerful way. After discussing its effectiveness, we upgrade it to make room for quantum gravity. The unitarity assumption is better understood, since it allows for the presence of physical particles as well as fake particles (fakeons). The locality assumption is applied to an interim classical action, since the true classical action is nonlocal and emerges from the quantization and a later process of classicization. The renormalizability assumption is refined to single out the special role of the gauge couplings. We show that the upgraded principle leads to an essentially unique theory of quantum gravity. In particular, in four dimensions, a fakeon of spin 2, together with a scalar field, is able to make the theory renormalizable while preserving unitarity. We offer an overview of quantum field theories of particles and fakeons in various dimensions, with and without gravity.

Supplementary and Associated Material Author's website, articles, seminars, lectures on quantum field theory, quantum gravity, renormalization, philosophy of science, etc.


classicization; correspondence principle; fakeons; philosophy of science; quantization; quantum gravity


Physical Sciences, Particle and Field Physics

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