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Quasi-topological theories of gravity are known to resolve black-hole singularities. We investigate whether the same mechanism can remove cosmological singularities. Focusing on non-polynomial curvature quasi-topological gravities in $d=4$…

General Relativity and Quantum Cosmology · Physics 2026-03-19 Johanna Borissova , João Magueijo

In this paper we present an iterative method to generate an infinite class of new nonlocal field theories whose propagators are ghost-free. We first examine the scalar field case and show that the pole structure of such generalized…

High Energy Physics - Theory · Physics 2020-04-15 Luca Buoninfante , Gaetano Lambiase , Yuichi Miyashita , Wataru Takebe , Masahide Yamaguchi

We argue that two-dimensional dilaton gravity models can all be derived from an analog of Jacobson's covariant version of the first law of thermodynamics. We then specialize to the JT gravity model and couple it to massless fermions. This…

High Energy Physics - Theory · Physics 2022-05-17 Tom Banks , Patrick Draper , Bingnan Zhang

We discuss renormalizability of a recently established, massive gravity theory with particular higher derivative terms in three space-time dimensions. It is shown that this massive gravity is certainly renormalizable as well as unitary, so…

High Energy Physics - Theory · Physics 2009-05-29 Ichiro Oda

We recalculate the beta functions of higher derivative gravity in four dimensions using the one--loop approximation to an Exact Renormalization Group Equation. We reproduce the beta functions of the dimensionless couplings that were known…

High Energy Physics - Theory · Physics 2008-11-26 A. Codello , R. Percacci

One can try to define the theory of quantum gravity as the sum over geometries. In two dimensions the sum over {\it Euclidean} geometries can be performed constructively by the method of {\it dynamical triangulations}. One can define a {\it…

General Relativity and Quantum Cosmology · Physics 2017-08-23 J. Ambjorn

The renormalization-group improved effective potential for an arbitrary renormalizable massless gauge theory in curved spacetime is found,thus generalizing Coleman-Weinberg's approach corresponding to flat space.Some explicit examples are…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov

Despite the fact that quantum gravity is non-renormalisable, a consistent and mathematically rigorous construction of a perturbation series is possible. This is based on the use of the Batalin-Vilkovisky-Becchi-Rouet-Stora-Tyutin formalism…

General Relativity and Quantum Cosmology · Physics 2022-12-26 Romeo Brunetti , Klaus Fredenhagen , Kasia Rejzner

We consider the recently proposed non-relativistic Ho\v{r}ava-Lifshitz four-dimensional theory of gravity. We study a particular limit of the theory which admits flat Minkowski vacuum and we discuss thoroughly the quadratic fluctuations…

High Energy Physics - Theory · Physics 2010-04-06 Alex Kehagias , Konstadinos Sfetsos

The pseudo-Newtonian potential of Paczynski and Wiita for particles orbiting a Schwarzschild black hole is generalized to arbitrary static and spherically symmetric spacetimes, including black hole solutions of alternative theories of…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Valerio Faraoni , Shawn D. Belknap-Keet , Marianne Lapierre-Leonard

We investigate the gravitational one-loop divergences of the standard model in large extra dimensions, with gravitons propagating in the (4+delta)-dimensional bulk and gauge fields as well as scalar and fermionic multiplets confined to a…

High Energy Physics - Phenomenology · Physics 2009-08-03 Andreas Rodigast , Theodor Schuster

When a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra "$i$"s in…

High Energy Physics - Theory · Physics 2015-05-20 Yu Nakayama

In quadratic gravity, with a positive Weyl squared coefficient, the extra spin-2 sector is shown to correspond to a dual inverted harmonic oscillator, instead of a ghost. Using the Wightman spectrum condition, we prove that the associated…

High Energy Physics - Theory · Physics 2026-04-27 K. Sravan Kumar , João Marto

Positivity bounds coming from consistency of UV scattering amplitudes are in general insufficient to prove the weak gravity conjecture for theories beyond Einstein-Maxwell. Additional ingredients about the UV may be necessary to exclude…

High Energy Physics - Theory · Physics 2020-11-20 Gregory J. Loges , Toshifumi Noumi , Gary Shiu

A Newtonian approach to quantum gravity is studied. At least for weak gravitational fields it should be a valid approximation. Such an approach could be used to point out problems and prospects inherent in a more exact theory of quantum…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Johan Hansson

We study the analytic structure of the resummed graviton propagator, inspired by the possible existence of black hole precursors in its spectrum. We find an infinite number of poles with positive mass, but both positive and negative…

High Energy Physics - Theory · Physics 2017-11-22 X. Calmet , R. Casadio , A. Yu. Kamenshchik , O. V. Teryaev

We construct perturbative quantum gravity in a generally covariant way. In particular our construction is background independent. It is based on the locally covariant approach to quantum field theory and the renormalized Batalin-Vilkovisky…

Mathematical Physics · Physics 2015-11-30 Romeo Brunetti , Klaus Fredenhagen , Katarzyna Rejzner

We propose to include gravity in quantum field theory non-perturbatively, by modifying the propagators so that each virtual particle in a Feynman graph move in the space-time determined by the four-momenta of the other particles in the same…

High Energy Physics - Theory · Physics 2015-05-13 Roberto Casadio

A new version of nonsymmetric gravitational theory is presented. The field equations are expanded about the Minkowski metric, giving in lowest order the linear Einstein field equations and massive Proca field equations for the antisymmetric…

General Relativity and Quantum Cosmology · Physics 2009-10-22 J. W. Moffat

We analyze the R + R2 model of quantum gravity where terms quadratic in the curvature tensor are added to the General Relativity action. This model was recently proved to be a self-consistent quantum theory of gravitation, being both…

High Energy Physics - Theory · Physics 2022-04-19 S. A. Larin