activity
20112025
most citedSuper-renormalizable & Finite Gravitational Theories

254 citations · 1.3k across the 37 of their papers we have counts for

collaborators

37 papers

hep-th2025

Cancellation of UV divergences in ghost-free infinite derivative gravity

Alexey S. Koshelev, Oleg Melichev, Leslaw Rachwal

We consider the most general covariant gravity action up to terms that are quadratic in curvature. These can be endowed with generic form factors, which are functions of the d'Alem…

hep-th2024★ 11 cited

Visions in Quantum Gravity

Luca Buoninfante, Benjamin Knorr, K. Sravan Kumar +36

To deepen our understanding of Quantum Gravity and its connections with black holes and cosmology, building a common language and exchanging ideas across different approaches is cr…

hep-th2024

Running of the Number of Degrees of Freedom in Quantum Conformal Gravity

Stefano Giaccari, Petr Jizba, Jaroslav Kňap +1

We study how the number of degrees of freedom in Weyl conformal gravity runs with the energy scale from the UV fixed point. To this end we employ two approaches. First, we utilize…

hep-th2023

Generalization of conformal Hamada operators

Lesław Rachwał, Públio Rwany B. R. do Vale

The six-derivative conformal scalar operator was originally found by Hamada in its critical dimension of spacetime, . We generalize this construction to arbitrary dimensions $…

hep-th2023★ 15 cited

Renormalizability of nonlocal quantum gravity coupled to matter

Gianluca Calcagni, Breno L. Giacchini, Leonardo Modesto +2

We extensively study the ultraviolet quantum properties of a nonlocal action for gravity nonminimally coupled to matter. The theory unifies matter and gravity in an action principl…

hep-th2022★ 5 cited

Classical and quantum nonlocal gravity

Arnau Bas i Beneito, Gianluca Calcagni, Lesław Rachwał

This chapter of the Handbook of Quantum Gravity aims to illustrate how nonlocality can be implemented in field theories, as well as the manner it solves fundamental difficulties of…

hep-th2022★ 26 cited

Ultraviolet-complete quantum field theories with fractional operators

Gianluca Calcagni, Lesław Rachwał

We explore quantum field theories with fractional d'Alembertian . Both a scalar field theory with a derivative-dependent potential and gauge theory are super-renormalizable…

hep-th2022★ 12 cited

Introduction to Quantization of Conformal Gravity

Lesław Rachwał

A method for consistent quantization of conformal gravity treating conformal symmetry in a very controllable way is presented. First, we discuss local conformal symmetry in the fra…

hep-th2022★ 3 cited

Ultraviolet Finiteness or Asymptotic Safety in Higher Derivative Gravitational Theories

Leslaw Rachwal

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

hep-th2021★ 1 cited

Infrared behavior of Weyl Gravity

Lesław Rachwał, Stefano Giaccari

In this paper, we introduce and motivate the studies of Quantum Weyl Gravity (also known as Conformal Gravity). We discuss some appealing features of this theory both on classical…

hep-th2021★ 5 cited

On the vector conformal models in an arbitrary dimension

Manuel Asorey, Lesław Rachwał, Ilya L. Shapiro +1

The conventional model of the gauge vector field is invariant under the local conformal symmetry only in the four-dimensional space (). Conformal generalization to an arbitrary…

hep-th2021★ 18 cited

Renormalization Group in Six-derivative Quantum Gravity

Leslaw Rachwal, Leonardo Modesto, Aleksandr Pinzul +1

The exact one-loop beta functions for the four-derivative terms (Weyl tensor squared, Ricci scalar squared and the Gauss-Bonnet) are derived for the minimal six-derivative quantum…

hep-th2020★ 8 cited

Asymptotic freedom and higher derivative gauge theories

M. Asorey, F. Falceto, L. Rachwal

The ultraviolet completion of gauge theories by higher derivative terms can dramatically change their behavior at high energies. The requirement of asymptotic freedom imposes very…

hep-th2020★ 1 cited

On the regularization of Lifshitz-type field theories

Alfio Bonanno, Miok Park, Lesław Rachwał +1

We consider Lifshitz-type scalar theories with explicit breaking of the Lorentz symmetry that, in addition, exhibit anisotropic scaling laws near the ultraviolet fixed point. Using…

hep-th2020★ 6 cited

Dark side of Weyl gravity

Petr Jizba, Lesław Rachwał, Stefano G. Giaccari +1

With the help of a functional renormalization group, we study the dynamical breakdown of scale invariance in quantum Weyl gravity by starting from the UV fixed point that we assume…

hep-th2020★ 15 cited

Effective Action from the Functional Renormalization Group

Nobuyoshi Ohta, Leslaw Rachwal

We study the quantum gravitational system coupled to a charged scalar, Dirac fermions, and electromagnetic fields. We use the "exact" or "functional" renormalization group equation…

hep-th2020★ 5 cited

Spectral action approach to higher derivative gravity

Ravi Mistry, Aleksandr Pinzul, Lesław Rachwał

We study the spectral action approach to higher derivative gravity. The work focuses on the classical aspects. We derive the complete and simplified form of the purely gravitationa…

hep-th2019★ 11 cited

Infrared behavior of Weyl Gravity: Functional Renormalization Group approach

Petr Jizba, Leslaw Rachwal, Jaroslav Knap

Starting from an ultraviolet fixed point, we study the infrared behavior of quantum Weyl gravity in terms of a functional renormalization group (RG) flow equation. To do so, we emp…

hep-th2018★ 29 cited

Conformal Symmetry in Field Theory and in Quantum Gravity

Leslaw Rachwal

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…

hep-th2018★ 3 cited

Unitarity issues in higher derivative field theories

Manuel Asorey, Lesław Rachwał, Ilya Shapiro

We analyze the unitarity properties of higher derivative quantum field theories which are free of ghosts and ultraviolet singularities. We point out that in spite of the absence of…

hep-th2018★ 13 cited

Finite conformal quantum gravity and spacetime singularities

Leonardo Modesto, Leslaw Rachwal

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 ano…

gr-qc2017★ 29 cited

Formation and evaporation of an electrically charged black hole in conformal gravity

Cosimo Bambi, Leonardo Modesto, Shiladitya Porey +1

Extending previous work on the formation and the evaporation of black holes in conformal gravity, in the present paper we study the gravitational collapse of a spherically symmetri…

hep-th2017★ 41 cited

Finite quantum gravity in dS and AdS spacetimes

Alexey S. Koshelev, K. Sravan Kumar, Leonardo Modesto +1

We hereby study the properties of a large class of weakly nonlocal gravitational theories around the (anti-) de Sitter spacetime background. In particular, we explicitly prove that…

hep-th2017★ 89 cited

Renormalization group in super-renormalizable quantum gravity

Leonardo Modesto, Leslaw Rachwal, Ilya L. Shapiro

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 calcu…