## 86 Citations

### Scalar and gravity quantum field theories with fractional operators

- Physics, Mathematics
- 2021

We study a class of perturbative scalar and gravitational quantum field theories where dynamics is characterized by Lorentz-invariant or Lorentz-breaking non-local operators of fractional order and…

### Finite conformal quantum gravity and spacetime singularities

- Mathematics, Physics
- 2017

We show that a class of finite quantum non-local gravitational theories is conformally invariant at classical as well as at quantum level. This is actually a range of conformal anomaly-free theories…

### Classical and quantum gravity with fractional operators

- PhysicsClassical and Quantum Gravity
- 2021

Following the same steps made for a scalar field in a parallel publication, we propose a class of perturbative theories of quantum gravity based on fractional operators, where the kinetic operator of…

### Conformal Symmetry in Field Theory and in Quantum Gravity

- PhysicsUniverse
- 2018

Conformal symmetry always played an important role in field theory (both quantum and classical) and in gravity. We present construction of quantum conformal gravity and discuss its features regarding…

### Renormalization group in super-renormalizable quantum gravity

- PhysicsThe European Physical Journal C
- 2018

One of the main advantages of super-renormalizable higher derivative quantum gravity models is the possibility to derive exact beta functions, by making perturbative one-loop calculations. We perform…

### Renormalization group in super-renormalizable quantum gravity

- PhysicsThe European Physical Journal C
- 2018

One of the main advantages of super-renormalizable higher derivative quantum gravity models is the possibility to derive exact beta functions, by making perturbative one-loop calculations. We perform…

### Ultraviolet Finiteness or Asymptotic Safety in Higher Derivative Gravitational Theories

- PhysicsUniverse
- 2022

We present and discuss well known conditions for ultraviolet finiteness and asymptotic safety. The requirements for complete absence of ultraviolet divergences in quantum field theories and existence…

### Classical and Quantum Nonlocal Supergravity

- Physics
- 2016

We derive the N=1 supersymmetric extension for a class of weakly nonlocal four dimensional gravitational theories.The construction is explicitly done in the superspace and the tree-level perturbative…

### Erratum: Classical and quantum gravity with fractional operators (2021 Class. Quantum Grav. 38 165005)

- PhysicsClassical and Quantum Gravity
- 2021

Following the same steps made for a scalar field in a parallel publication, we propose a class of perturbative theories of quantum gravity based on fractional operators, where the kinetic operator of…

## References

SHOWING 1-10 OF 117 REFERENCES

### Do we have unitary and (super)renormalizable quantum gravity below the Planck scale

- Physics
- 2014

We explore how the stability of metric perturbations in higher derivative theories of gravity depends on the energy scale of initial seeds of such perturbations and on a typical energy scale of the…

### Super-renormalizable Higher-Derivative Quantum Gravity

- Physics
- 2012

In this paper we study perturbatively an extension of the Stelle higher derivative gravity involving an infinite number of derivative terms. We know that the usual quadratic action is renormalizable…

### Super-Renormalizable Multidimensional Gravity: Theory and Applications

- Physics
- 2013

Abstract In this paper we introduce a perturbatively super-renormalizable and unitary theory of quantum gravity in any dimension D. In four dimensions the theory is an extension of the Stelle higher…

### Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity

- Physics
- 2014

In this paper we will consider quantum aspects of a non-local, infinite-derivative scalar field theory—a toy model depiction of a covariant infinite-derivative, non-local extension of Einstein’s…

### Towards a finite quantum supergravity

- Physics
- 2012

In this paper we study an N=1 supersymmetric extension of a perturbatively super-renormalizable (nonlocal)theory of gravity in four dimensions. The nonlocal supergravity theory is power-counting…

### Properties of the classical action of quantum gravity

- Physics
- 2013

A bstractThe classical action of quantum gravity, determined by renormalization, contains infinitely many independent couplings and can be expressed in different perturbatively equivalent ways. We…

### Absence of higher derivatives in the renormalization of propagators in quantum field theories with infinitely many couplings

- Physics
- 2002

I study some aspects of the renormalization of quantum field theories with infinitely many couplings in arbitrary space-time dimensions. I prove that when the space-time manifold admits a metric of…

### Super-renormalizable Quantum Gravity

- Physics
- 2012

In this paper we study perturbatively an extension of the Stelle higher derivative gravity involving an infinite number of derivative terms. We know that the usual quadratic action is renormalizable…

### The a-theorem and the asymptotics of 4D quantum field theory

- Mathematics
- 2013

A bstractWe study the possible IR and UV asymptotics of 4D Lorentz invariant unitary quantum field theory. Our main tool is a generalization of the Komargodski-Schwimmer proof for the a-theorem. We…