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
Available on Amazon:
US: book | ebook (in EN)
IT: book | ebook (in IT)
IT: book | ebook (in EN)
DE: book | ebook (in EN)
FR: book | ebook (in EN)
ES: book | ebook (in EN)
UK: book | ebook (in EN)
JP: book | ebook (in EN)
Recent Papers
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20A5 Damiano AnselmiHigh-order corrections to inflationary perturbation spectra in quantum gravity
We compute the inflationary perturbation spectra and the quantity $r+8n_{T}$ to the next-to-next-to-leading log order in quantum gravity with purely virtual particles (which means the ... (read more)
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20A4 Damiano AnselmiCosmic inflation as a renormalization-group flow: the running of power spectra in quantum gravity
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 ... (read more)
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20A3 Damiano AnselmiQuantum field theories of arbitrary-spin massive multiplets and Palatini quantum gravity
We 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)
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20A2 Damiano Anselmi, Eugenio Bianchi and Marco PivaPredictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term
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 ... (read more)
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20A1 Damiano AnselmiThe quest for purely virtual quanta: fakeons versus Feynman-Wheeler particles
The 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)
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19A3 Damiano Anselmi and Antonio MarinoFakeons and microcausality: light cones, gravitational waves and the Hubble constant
The 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)
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19A2 Damiano AnselmiFakeons, unitarity, massive gravitons and the cosmological constant
We 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)
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19A1 Damiano AnselmiFakeons and the classicization of quantum gravity: the FLRW metric
Under 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)
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18A7 Damiano AnselmiOn the nature of the Higgs boson
Several 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)
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18A6 Damiano AnselmiLet the dice play God
We 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)
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18A5 Damiano AnselmiThe correspondence principle in quantum field theory and quantum gravity
We 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)
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18A4 Damiano AnselmiFakeons, microcausality and the classical limit of quantum gravity
We 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)
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18A3 Damiano Anselmi and Marco PivaQuantum gravity, fakeons and microcausality
We 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)
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18A2 Damiano Anselmi and Marco PivaThe ultraviolet behavior of quantum gravity
A theory of quantum gravity has been recently proposed by means of a novel quantization prescription, which is able to turn the poles of the ... (read more)
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18A1 Damiano AnselmiFakeons and Lee-Wick models
The “fakeon” is a fake degree of freedom, i.e. a degree of freedom that does not belong to the physical spectrum, but propagates inside the ... (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 Weyl-squared term. The ghost is eliminated by turning it into a fakeon, that is to say a purely virtual particle. We work to the next-to-leading 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 tensor-to-scalar 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 Weyl-squared 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. Non-Abelian gauge field theories
Notation and useful formulas
References
Sections
- Cosmology (9)
- Quantum gravity (47)
- Standard model (7)
- Adler-Bardeen theorem (5)
- Background field method (3)
- Unitarity of quantum field theory (18)
- Fakeons (33)
- Renormalization of general gauge theories (14)
- Field-covariant 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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