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Corrections to the Newtonian gravitational potential from general relativity can be derived in a combined expansion around flat spacetime and a small velocity of the interacting bodies. We present the calculation of the static five-loop…

General Relativity and Quantum Cosmology · Physics 2019-12-09 Johannes Blümlein , Andreas Maier , Peter Marquard

We employ the graviton self-energy induced by a massless, minimally coupled (MMC) scalar on de Sitter background to compute the quantum corrections to the gravitational potentials of a static point particle with a mass $M$. The…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Sohyun Park , Tomislav Prokopec , R. P. Woodard

We consider the effective theory of perturbative quantum gravity coupled to a point particle, quantizing fluctuations of both the gravitational field and the particle's position around flat space. Using a recent relational approach to…

High Energy Physics - Theory · Physics 2022-02-02 M. B. Fröb , C. Rein , R. Verch

In this paper we consider general relativity and its combination with scalar quantum electrodynamics (QED) as an effective quantum field theory at energies well below the Planck scale. This enables us to compute the one-loop quantum…

High Energy Physics - Theory · Physics 2008-11-26 Sven Faller

We calculate the one loop graviton vacuum polarization induced by a massless, nonminimally coupled scalar field on Minkowski background. We make use of the Schwinger-Keldysh formalism, which allows us to study time dependent phenomena. As…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Anja Marunovic , Tomislav Prokopec

We employ an unregulated computation the graviton self-energy from gravitons on de Sitter background to infer the renormalized result. This is used to quantum-correct the linearized Einstein equation. We solve this equation for the…

General Relativity and Quantum Cosmology · Physics 2022-07-11 L. Tan , N. C. Tsamis , R. P. Woodard

The relationship between the classical and quantum theories of gravity is reexamined. The value of the gravitational potential defined with the help of the two-particle scattering amplitudes is shown to be in disagreement with the classical…

High Energy Physics - Theory · Physics 2009-10-31 Kirill A. Kazakov

We consider a quantum scalar field on an arbitrary gravitational background. We obtain the effective {\it in-in} equations for the gravitational fields using a covariant and non-local approximation for the effective action proposed by…

General Relativity and Quantum Cosmology · Physics 2009-10-22 D. A. R. Dalvit , F. D. Mazzitelli

We calculate the quantum corrections to the gauge-invariant gravitational potentials of spinning particles in flat space, induced by loops of both massive and massless matter fields of various types. While the corrections to the Newtonian…

High Energy Physics - Theory · Physics 2016-12-13 Markus B. Fröb

We calculate the effective mass of gravitational perturbations induced by the interaction of the classical gravitational field with quantum matter in the background of the Poincar\'e patch of de Sitter space. Using the Schwinger-Keldysh…

High Energy Physics - Theory · Physics 2023-11-21 Damir Sadekov

In this review we present the theoretical background for treating General Relativity as an effective field theory and focus on the concrete results of such a treatment. As a result we present the calculations of the low-energy leading…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Arif Akhundov , Anwar Shiekh

The leading long-distance quantum correction to the Newtonian potential for heavy spinless particles is computed in quantum gravity. The potential is obtained directly from the sum of all graviton exchange diagrams contributing to lowest…

High Energy Physics - Theory · Physics 2009-10-28 H. W. Hamber , S. Liu

Based on the classical limit of relativistic scattering amplitudes, we compute the coupling between a general super-renormalizable gravity and massive scalar particles. This allows us to derive the $D$-dimensional metric corrections at both…

High Energy Physics - Theory · Physics 2026-02-11 Haiyuan Feng , Rong-Jia Yang , Jinjun Zhang

The derivation of effective quantum gravity corrections to Newton's potential is an important step in the whole effective quantum field theory approach. We hereby add new strong arguments in favor of omitting all the diagrams with internal…

High Energy Physics - Theory · Physics 2022-02-17 Tibério de Paula Netto , Leonardo Modesto , Ilya L. Shapiro

We compute the one-loop photon contribution to the graviton self-energy on a de Sitter background and use it to solve the linearized Einstein equation for a point mass. Our results show that a comoving observer sees a logarithmic spatial…

General Relativity and Quantum Cosmology · Physics 2016-01-21 C. L. Wang , R. P. Woodard

We revisit the calculation of matter quantum effects on the graviton self-energy on a flat Minkowski background, with the aim to acquire a deeper understanding of the mechanism that renders the graviton massless. To this end, we derive a…

High Energy Physics - Theory · Physics 2015-03-25 Daniel Burns , Apostolos Pilaftsis

We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting effective field theory are presented…

High Energy Physics - Theory · Physics 2014-11-18 N. E. J Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein

We evaluate quantum gravity corrections to the standard model Higgs potential $V(\phi)$ a la Coleman-Weinberg and examine the stability question of $V(\phi)$ at scales of Planck mass $M_{\rm Pl}$. We compute the gravity one-loop corrections…

High Energy Physics - Phenomenology · Physics 2019-02-27 Yugo Abe , Masaatsu Horikoshi , Takeo Inami

We present a new computation of the renormalized graviton self-energy induced by a loop of massless, minimally coupled scalars on de Sitter background. Our result takes account of the need to include a finite renormalization of the…

General Relativity and Quantum Cosmology · Physics 2024-05-02 S. P. Miao , N. C. Tsamis , R. P. Woodard

We compute the one-loop quantum corrections to the gravitational potentials of a spinning point particle in a de Sitter background, due to the vacuum polarisation induced by conformal fields in an effective field theory approach. We…

High Energy Physics - Theory · Physics 2017-04-19 Markus B. Fröb , Enric Verdaguer
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