Course
19S1 D. Anselmi
Theories of gravitation
Program
Recent Papers

24A2 Damiano Anselmi
Quantum gravity with purely virtual particles from asymptotically local quantum field theoryWe investigate the local limits of various classes of unitary, nonlocal quantum field theories. While it is easy to build nonlocal models with wellbehaved asymptotics ... (read more)

24A1 Damiano Anselmi
Cosmological inhomogeneities, primordial black holes, and a hypothesis on the death of the universeWe study the impact of the expansion of the universe on a broad class of objects, including black holes, neutron stars, white dwarfs, and others. ... (read more)

23A3 Damiano Anselmi
Gauge theories and quantum gravity in a finite interval of time, on a compact space manifoldWe study gauge theories and quantum gravity in a finite interval of time $ \tau $, on a compact space manifold $\Omega $. The initial, ... (read more)

23A2 Damiano Anselmi
Propagators and widths of physical and purely virtual particles in a finite interval of timeWe study the free and dressed propagators of physical and purely virtual particles in a finite interval of time $τ$ and on a compact space ... (read more)

23A1 Damiano Anselmi
Quantum field theory of physical and purely virtual particles in a finite interval of time on a compact space manifold: diagrams, amplitudes and unitarityWe provide a diagrammatic formulation of perturbative quantum field theory in a finite interval of time $τ$, on a compact space manifold $Ω$. We explain ... (read more)

22A5 Damiano Anselmi
A new quantization principle from a minimally non timeordered productWe formulate a new quantization principle for perturbative quantum field theory, based on a minimally non timeordered product, and show that it gives the theories ... (read more)

22A4 Damiano Anselmi
Purely virtual extension of quantum field theory for gauge invariant fields: quantum gravityQuantum gravity is extended to include purely virtual “cloud sectors”, which allow us to define a complete set of pointdependent observables, including a gauge invariant ... (read more)

22A3 Damiano Anselmi
Purely virtual extension of quantum field theory for gauge invariant fields: YangMills theoryWe extend quantum field theory by including purely virtual “cloud” sectors, to define physical offshell correlation functions of gauge invariant quark and gluon fields, without ... (read more)

22A2 Damiano Anselmi
Purely virtual particles versus LeeWick ghosts: physical PauliVillars fields, finite QED and quantum gravityWe reconsider the LeeWick (LW) models and compare their properties to the properties of the models that contain purely virtual particles. We argue against the ... (read more)

22A1 Damiano Anselmi
Dressed propagators, fakeon selfenergy and peak uncertaintyWe study the resummation of selfenergy diagrams into dressed propagators in the case of purely virtual particles and compare the results with those obtained for ... (read more)

21A5 Damiano Anselmi
Diagrammar of physical and fake particles and spectral optical theoremWe prove spectral optical identities in quantum field theories of physical particles (defined by the Feynman $i\epsilon $ prescription) and purely virtual particles (defined by ... (read more)

21A4 Damiano Anselmi, Kristjan Kannike, Carlo Marzo, Luca Marzola, Aurora Melis, Kristjan Müürsepp, Marco Piva and Martti Raidal
A fake doublet solution to the muon anomalous magnetic momentExtensions to the Standard Model that use strictly offshell degrees of freedom – the fakeons – allow for new measurable interactions at energy scales usually ... (read more)

21A3 Damiano Anselmi, Kristjan Kannike, Carlo Marzo, Luca Marzola, Aurora Melis, Kristjan Müürsepp, Marco Piva, Martti Raidal
Phenomenology of a Fake Inert Doublet ModelWe introduce a new way of modeling the physics beyond the Standard Model by considering fake, strictly offshell degrees of freedom: the fakeons. To demonstrate ... (read more)

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)
Archive for January 2013
13A1 D. Anselmi
Renormalization of gauge theories without cohomology
We investigate the renormalization of gauge theories without assuming cohomological properties. We define a renormalization algorithm that preserves the BatalinVilkovisky master equation at each step and automatically extends the classical action till it contains sufficiently many independent parameters to reabsorb all divergences into parameterredefinitions and canonical transformations. The construction is then generalized to the master functional and the fieldcovariant proper formalism for gauge theories. Our results hold in all manifestly anomalyfree gauge theories, powercounting renormalizable or not. The extension algorithm allows us to solve a quadratic problem, such as finding a sufficiently general solution of the master equation, even when it is not possible to reduce it to a linear (cohomological) problem.
Eur. Phys. J. C 73 (2013) 2508  DOI: 10.1140/epjc/s1005201325085
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Book
14B1 D. Anselmi
Renormalization
Course on renormalization, taught in 2015.
Last update: September 15th 2023, 242 pages
The final (2023) edition is vaibable 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
The pdf file of the 2015 Edition is available here: PDF
Sections
 Cosmology (14)
 Phenomenology beyond SM (7)
 Quantum gravity (60)
 Standard model (11)
 AdlerBardeen theorem (5)
 Background field method (3)
 Unitarity of quantum field theory (26)
 Purely virtual particles (45)
 Renormalization of general gauge theories (16)
 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 (8)
 Biophysics (3)
 Videos (20)
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