Course
19S1 D. Anselmi
Theories of gravitation
Program
Book
D. Anselmi
From Physics To Life
A journey to the infinitesimally small and back
In English and Italian
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Recent Papers

21A2 Damiano Anselmi
Perturbation spectra and renormalizationgroup techniques in doublefield inflation and quantum gravity cosmologyWe study primordial cosmology with two scalar fields that participate in inflation at the same time, by coupling quantum gravity (i.e., the theory $R+R^2+C^2$ with ... (read more)

21A1 Damiano Anselmi, Filippo Fruzza and Marco Piva
Renormalizationgroup techniques for singlefield inflation in primordial cosmology and quantum gravityWe study inflation as a “cosmic” renormalizationgroup flow. The flow, which encodes the dependence on the background metric, is described by a running coupling $\alpha ... (read more)

20A5 Damiano Anselmi
Highorder corrections to inflationary perturbation spectra in quantum gravityWe compute the inflationary perturbation spectra and the quantity $r+8n_{T}$ to the nexttonexttoleading log order in quantum gravity with purely virtual particles (which means the ... (read more)

20A4 Damiano Anselmi
Cosmic inflation as a renormalizationgroup flow: the running of power spectra in quantum gravityWe study the running of power spectra in inflationary cosmology as a renormalizationgroup flow from the de Sitter fixed point. The beta function is provided ... (read more)

20A3 Damiano Anselmi
Quantum field theories of arbitraryspin massive multiplets and Palatini quantum gravityWe formulate quantum field theories of massive fields of arbitrary spins. The presence of both physical and fake particles, organized into multiplets, makes it possible ... (read more)

20A2 Damiano Anselmi, Eugenio Bianchi and Marco Piva
Predictions of quantum gravity in inflationary cosmology: effects of the Weylsquared termWe derive the predictions of quantum gravity with fakeons on the amplitudes and spectral indices of the scalar and tensor fluctuations in inflationary cosmology. The ... (read more)

20A1 Damiano Anselmi
The quest for purely virtual quanta: fakeons versus FeynmanWheeler particlesThe search for purely virtual quanta has attracted interest in the past. We consider various proposals and compare them to the concept of fake particle, ... (read more)

19A3 Damiano Anselmi and Antonio Marino
Fakeons and microcausality: light cones, gravitational waves and the Hubble constantThe concept of fake particle, or “fakeon”, allows us to make sense of quantum gravity as an ultraviolet complete theory, by renouncing causality at very ... (read more)

19A2 Damiano Anselmi
Fakeons, unitarity, massive gravitons and the cosmological constantWe give a simple proof of perturbative unitarity in gauge theories and quantum gravity using a special gauge that allows us to separate the physical ... (read more)

19A1 Damiano Anselmi
Fakeons and the classicization of quantum gravity: the FLRW metricUnder certain assumptions, it is possible to make sense of higher derivative theories by quantizing the unwanted degrees of freedom as fakeons, which are later ... (read more)

18A7 Damiano Anselmi
On the nature of the Higgs bosonSeveral particles are not observed directly, but only through their decay products. We consider the possibility that they might be fakeons, i.e. fake particles, which ... (read more)

18A6 Damiano Anselmi
Let the dice play GodWe define life as the amplification of quantum uncertainty up to macroscopic scales. A living being is any amplifier that achieves this goal. We argue ... (read more)

18A5 Damiano Anselmi
The correspondence principle in quantum field theory and quantum gravityWe discuss the fate of the correspondence principle beyond quantum mechanics, specifically in quantum field theory and quantum gravity, in connection with the intrinsic limitations ... (read more)

18A4 Damiano Anselmi
Fakeons, microcausality and the classical limit of quantum gravityWe elaborate on the idea of fake particle and study its physical consequences. When a theory contains fakeons, the true classical limit is determined by ... (read more)

18A3 Damiano Anselmi and Marco Piva
Quantum gravity, fakeons and microcausalityWe investigate the properties of fakeons in quantum gravity at one loop. The theory is described by a graviton multiplet, which contains the fluctuation $h_{\mu ... (read more)
Eugenio Bianchi
We derive the predictions of quantum gravity with fakeons on the amplitudes and spectral indices of the scalar and tensor fluctuations in inflationary cosmology. The action is $R+R^{2}$ plus the Weylsquared term. The ghost is eliminated by turning it into a fakeon, that is to say a purely virtual particle. We work to the nexttoleading order of the expansion around the de Sitter background. The consistency of the approach puts a lower bound ($m_{\chi }>m_{\phi }/4$) on the mass $m_{\chi }$ of the fakeon with respect to the mass $m_{\phi }$ of the inflaton. The tensortoscalar ratio $r$ is predicted within less than an order of magnitude ($4/3 < N^{2}r<12$ to the leading order in the number of $e$foldings $N$). Moreover, the relation $r\simeq 8n_{T}$ is not affected by the Weylsquared term. No vector and no other scalar/tensor degree of freedom is present.
J. High Energy Phys. 07 (2020) 211  DOI: 10.1007/JHEP07(2020)211
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Book
14B1 D. Anselmi
Renormalization
Course on renormalization, taught in Pisa in 2015. (More chapters will be added later.)
Last update: May 9th 2015, 230 pages
Avaibable on Amazon:
Contents:
Preface
1. Functional integral
2. Renormalization
3. Renormalization group
4. Gauge symmetry
5. Canonical formalism
6. Quantum electrodynamics
7. NonAbelian gauge field theories
Notation and useful formulas
References
Sections
 Cosmology (11)
 Quantum gravity (49)
 Standard model (7)
 AdlerBardeen theorem (5)
 Background field method (3)
 Unitarity of quantum field theory (18)
 Fakeons (34)
 Renormalization of general gauge theories (14)
 Fieldcovariant quantum field theory (4)
 Lorentz violating quantum field theory (11)
 Renormalization group (14)
 Infinite reduction of couplings (5)
 Regularization (5)
 Conformal field theory (20)
 Topological field theory (5)
 Instantons (4)
 Field redefinitions (4)
 Dimensional regularization (5)
 Philosophy of science (6)
 Biophysics (3)
 Videos (20)
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