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We evaluated the scattering amplitude of neutral scalar particles at one-loop order in the context of effective field theory of quantum gravity in the presence of a cosmological constant. Our study suggests that quantum gravitational…

High Energy Physics - Theory · Physics 2013-12-02 A. C. Lehum

We compute curvature-dependent graviton correlation functions and couplings as well as the full curvature potential $f(R)$ in asymptotically safe quantum gravity coupled to scalars. The setup is based on a systematic vertex expansion about…

High Energy Physics - Theory · Physics 2019-12-05 Benjamin Bürger , Jan M. Pawlowski , Manuel Reichert , Bernd-Jochen Schaefer

We consider the most general action for gravity which is quadratic in curvature. In this case first order and second order formalisms are not equivalent. This framework is a good candidate for a unitary and renormalizable theory of the…

High Energy Physics - Theory · Physics 2017-12-22 Enrique Alvarez , Jesus Anero , Sergio Gonzalez-Martin

$f(R)$ gravity models belong to an important class of modified gravity models where the late time cosmic accelerated expansion is considered as the manifestation of the large scale modification of the force of gravity. $f(R)$ gravity models…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Umananda Dev Goswami , Kabita Deka

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

We establish a well-posedness theory for the f(R) theory of modified gravity, which is a generalization of Einstein's theory of gravitation. The scalar curvature R of the spacetime, which arises in the integrand of the Einstein-Hilbert…

Analysis of PDEs · Mathematics 2014-12-30 Philippe G. LeFloch , Yue Ma

We apply the new quantization scheme outlined in Phys. Rev. D102 (2020) 125001 to explore the influence which quantum vacuum fluctuations of the spacetime metric exert on the universes of Quantum Einstein Gravity, which is regarded an…

High Energy Physics - Theory · Physics 2021-12-22 Maximilian Becker , Martin Reuter

I describe the treatment of gravity as a quantum effective field theory. This allows a natural separation of the (known) low energy quantum effects from the (unknown) high energy contributions. Within this framework, gravity is a well…

General Relativity and Quantum Cosmology · Physics 2010-11-01 John F. Donoghue

We consider metric f(R) theories of gravity without mapping them to their scalar-tensor counterpart, but using the Ricci scalar itself as an "extra" degree of freedom. This approach avoids then the introduction of a scalar-field potential…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Luisa G. Jaime , Leonardo Patino , Marcelo Salgado

We derive new functional renormalisation group flows for quantum gravity, in any dimension. The key new achievement is that the equations apply for any theory of gravity whose underlying Lagrangian $\sim f(R_{\mu\nu\rho\sigma})$ is a…

High Energy Physics - Theory · Physics 2022-12-07 Yannick Kluth , Daniel F. Litim

We investigate the Hamiltonian formulation of $f(T)$ gravity and find that there are five degrees of freedom. The six first class constraints corresponding to the local Lorentz transformation in Teleparallel gravity become second class…

High Energy Physics - Theory · Physics 2011-08-01 Miao Li , Rong-Xin Miao , Yan-Gang Miao

Cuscuton field theory is an extension of general relativity that does not introduce additional propagating degrees of freedom, or violate relativistic causality. We construct a general geometric description of the cuscuton field theory by…

High Energy Physics - Theory · Physics 2023-12-12 M. Mylova , N. Afshordi

We propose a new model of modified $F(R)$ gravity theory with the function $F(R) = (1/\beta) \arcsin(\beta R)$. Constant curvature solutions corresponding to the flat and de Sitter spacetime are obtained. The Jordan and Einstein frames are…

General Physics · Physics 2015-07-24 S. I. Kruglov

In gravity theories derived from a f(R) Lagrangian, matter is usually supposed to be minimally coupled to the metric, which hence defines a ``Jordan frame.'' However, since the field equations are fourth order, gravity possesses an extra…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda

In this work we use the framework of effective field theory to couple Einstein's gravity to scalar electrodynamics and determine the renormalization of the model through the study of physical processes below Planck scale, a realm where…

High Energy Physics - Theory · Physics 2016-04-14 L. Ibiapina Bevilaqua , A. C. Lehum , A. J. da Silva

We perform a full Hamiltonian constraint analysis of pure Ricci-scalar-squared ($R^2$) gravity to clarify recent controversies regarding its particle spectrum. While it is well established that the full theory consistently propagates three…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Will Barker , Dražen Glavan

We analyse our recently proposed experiment to witness indirectly non-commuting degrees of freedom in gravity, in the light of the analogy between the electromagnetic and the gravitational field. We thereby identify the non-commuting…

Quantum Physics · Physics 2018-12-18 Chiara Marletto , Vlatko Vedral

The conformal transformation in the Einstein - Hilbert action leads to a new frame where an extra scalar degree of freedom is compensated by the local conformal-like symmetry. We write down a most general action resulting from such…

High Energy Physics - Theory · Physics 2010-11-01 Ilya L. Shapiro , Hiroyuki Takata

We investigate spin- and velocity-dependent contributions to the gravitational inter-particle potential. The methodology adopted here is based on the expansion of the effective action in terms of form factors encoding quantum corrections.…

High Energy Physics - Theory · Physics 2020-10-14 G. P. de Brito , M. G. Campos , L. P. R. Ospedal , K. P. B. Veiga

Recently, it is shown that, the quantum effects of matter are well described by the conformal degree of freedom of the space-time metric. On the other hand, it is a wellknown fact that according to Einstein's gravity theory, gravity and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ali Shojai