19S1 D. Anselmi
Theories of gravitation




D. Anselmi
From Physics To Life

A journey to the infinitesimally small and back

In English and Italian

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Recent Papers

Archive for July 2020

We study the running of power spectra in inflationary cosmology as a renormalization-group flow from the de Sitter fixed point. The beta function is provided by the equations of the background metric. The spectra of the scalar and tensor fluctuations obey RG evolution equations with vanishing anomalous dimensions. By organizing the perturbative expansion in terms of leading and subleading logs, we calculate the spectral indices, their runnings, the runnings of the runnings, etc., to the next-to-leading log order in quantum gravity with fakeons (i.e., the theory $R+R^2+C^2$ with the fakeon prescription/projection for $C^2$). We show that these quantities are related to the spectra in a universal way. We also compute the first correction to the relation $r=−8n_T$ and provide a number of quantum gravity predictions that can be hopefully tested in the forthcoming future.


arXiv: 2007.15023 [hep-th]

The Youtube Channel Quantum Gravity has just crossed the threshold of 200 subscribers. Its URL address is

Quick statistics up to date, at 1.5 years since creation:

Total number of views: 15564
Total watched time: 1721 hours
Number of subscribers: 200
Number of videos: 75

Most watched videos:

Quantum gravity from fakeons – Catania 2019: 2393 views, 21 likes
Theories of Gravitation Lecture 1: 1283 views, 13 likes
A predictive theory of quantum gravity from fake particles: 782 views, 11 likes
Quantum gravity from fakeons – Marseille: 635 views, 5 likes
Quantum gravity al pub: 599 views, 11 likes
La fisica e la vita – Viaggio nell’infinitamente piccolo, e ritorno: 587 views, 7 likes
The corr. principle in quantum field th. and quantum grav.: 428 views, 2 likes

Let the dice play God: 344 views, 2 like
From fakeons to quantum gravity: 339 views, 5 likes

Number of visits to this website since creation (2013): 43448

Download count for the papers posted on archives other than arXiv (which does not allow download count):

18A5 The corr. principle in q. field th. and q. grav.: 1162 downloads (5 archives)
17A3 On the quantum field theory of the grav. interactions: 436 downloads (2 archives)
18A6 Let the dice play God: 355 downloads (4 archives)
18A7 On The Nature of the Higgs Boson: 278 downloads (4 archives)

Last update: 24/07/2020


14B1 D. Anselmi

Course on renormalization, taught in Pisa in 2015. (More chapters will be added later.)

Last update: May 9th 2015, 230 pages

Avaibable on Amazon:


1. Functional integral
2. Renormalization
3. Renormalization group
4. Gauge symmetry
5. Canonical formalism
6. Quantum electrodynamics
7. Non-Abelian gauge field theories
Notation and useful formulas

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