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We present the construction of a gravitational action including an infinite series of higher derivative terms. The outcome is a classically consistent completion of a well-studied quadratic curvature theory. The closed form for the full…

General Relativity and Quantum Cosmology · Physics 2018-10-12 Brage Gording , Angnis Schmidt-May

Understanding the role of higher derivatives is probably one of the most relevant questions in quantum gravity theory. Already at the semiclassical level, when gravity is a classical background for quantum matter fields, the action of…

General Relativity and Quantum Cosmology · Physics 2014-10-10 Ilya L. Shapiro , Ana M. Pelinson , Filipe de O. Salles

In this paper we discuss singularity theorems in quantum gravity using effective field theory methods. To second order in curvature, this effective field theory contains two new degrees of freedom which have important implications for the…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Folkert Kuipers , Xavier Calmet

The effective field theory of quantum gravity generically predicts non-locality to be present in the effective action, which results from the low-energy propagation of gravitons and massless matter. Working to second order in gravitational…

High Energy Physics - Theory · Physics 2018-10-17 Xavier Calmet , Basem Kamal El-Menoufi , Boris Latosh , Sonali Mohapatra

In this paper we consider the degrees of freedom beyond the graviton present in the effective field theory for quantum gravity. We point out that the position of the poles due to $R^2$ and $R_{\mu\nu}R^{\mu\nu}$ cannot be affected by…

High Energy Physics - Theory · Physics 2019-07-24 Xavier Calmet , Boris Latosh

General Relativity (GR) is an effective field theory valid in the infrared regime. Quadratic curvature extensions intended to probe ultraviolet physics generically propagate a massive spin-$2$ ghost and are therefore non-unitary. One route…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Gaetano Lambiase , Shinji Mukohyama , Tanmay Kumar Poddar , Anna Chiara Rescigno

We employ the curvature expansion of the quantum effective action for gravity-matter systems to construct graviton-mediated scattering amplitudes for non-minimally coupled scalar fields in a Minkowski background. By design, the formalism…

High Energy Physics - Theory · Physics 2020-12-30 Tom Draper , Benjamin Knorr , Chris Ripken , Frank Saueressig

In this paper, we discuss an effective theory for quantum gravity and discuss the bounds on the parameters of this effective action. In particular we show that measurement in pulsars binary systems are unlikely to improve the bounds on the…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Xavier Calmet

In this paper we show that there is a universal prediction for the Newtonian potential for an infinite derivative, ghost-free, quadratic curvature gravity. We show that in order to make such a theory ghost-free at a perturbative level, the…

General Relativity and Quantum Cosmology · Physics 2018-01-30 James Edholm , Alexey S. Koshelev , Anupam Mazumdar

In this paper we consider Quadratic Gravity as a low energy effective field theory of some unknown UV-complete theory of gravity. Using the spin-2 ghost pathology that occurs in Quadratic Gravity, we derive maximum value for the classical…

General Relativity and Quantum Cosmology · Physics 2021-04-08 Callum Hunter

We review past and present results on the non-local form-factors of the effective action of semiclassical gravity in two and four dimensions computed by means of a covariant expansion of the heat kernel up to the second order in the…

High Energy Physics - Theory · Physics 2019-03-05 Sebastián A. Franchino-Viñas , Tibério de Paula Netto , Omar Zanusso

Effective equations are often useful to extract physical information from quantum theories without having to face all technical and conceptual difficulties. One can then describe aspects of the quantum system by equations of classical type,…

High Energy Physics - Theory · Physics 2008-11-26 Martin Bojowald , Aureliano Skirzewski

Using as inspiration the well known chiral effective lagrangian describing the interactions of pions at low energies, in these lectures we review the quantization procedure of Einstein gravity in the spirit of effective field theories. As…

High Energy Physics - Theory · Physics 2014-11-20 D. Espriu , D. Puigdomenech

We derive curvature counterterms in two-dimensional gravity coupled to conformal matter up to infinite order. By construction the higher-order action is equivalent to a finite first-order theory with auxiliary scalar. Due to this…

High Energy Physics - Theory · Physics 2009-10-22 Thomas T. Burwick

We derive an expression for effective gravitational mass for any closed spacelike 2-surface. This effective gravitational energy is defined directly through the geometrical quantity of the freely falling 2-surface and thus is well adapted…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Keita Ikumi , Tetsuya Shiromizu

We obtain the effective action of four dimensional quantum gravity, induced by N massless matter fields, by integrating the RG flow of the relative effective average action. By considering the leading approximation in the large N limit,…

General Relativity and Quantum Cosmology · Physics 2012-12-18 A. Codello

We review an approach developed in the last few years by our group in which GR is modified in the infrared, at an effective level, by nonlocal terms associated to a mass scale. We begin by recalling the notion of quantum effective action…

High Energy Physics - Theory · Physics 2016-06-29 Michele Maggiore

We discuss quadratic gravity where terms quadratic in the curvature tensor are included in the action. After reviewing the corresponding field equations, we analyze in detail the physical propagating modes in some specific backgrounds.…

High Energy Physics - Theory · Physics 2016-12-21 Luis Alvarez-Gaume , Alex Kehagias , Costas Kounnas , Dieter Lust , Antonio Riotto

We discuss spacetime instability for effective field theories of quantum gravity. The effective action of gravity introduces infinite higher derivative curvature terms $R^{2}, { R }_{ \mu \nu }{ R }^{ \mu \nu }, R_{\mu\nu\kappa\lambda}…

High Energy Physics - Theory · Physics 2022-10-21 Hiroki Matsui

We discuss aspects of non-perturbative unitarity in quantum field theory. The additional ghost degrees of freedom arising in "truncations" of an effective action at a finite order in derivatives could be fictitious degrees of freedom. Their…

High Energy Physics - Theory · Physics 2020-11-20 Alessia Platania , Christof Wetterich
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