# Graviton corrections to the Newtonian potential using invariant observables

@inproceedings{Frob2021GravitonCT, title={Graviton corrections to the Newtonian potential using invariant observables}, author={Markus B. Frob and C. Rein and Rainer Verch}, year={2021} }

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 construct gauge-invariant observables, we compute one-loop graviton corrections to the invariant metric perturbation, whose time-time component gives the Newtonian gravitational potential. The resulting quantum correction consists of two parts: the first stems… Expand

#### References

SHOWING 1-10 OF 92 REFERENCES

Quantum corrections for spinning particles in de Sitter

- Physics
- 2017

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… Expand

Matter Quantum Corrections to the Graviton Self-Energy and the Newtonian Potential

- Physics
- 2015

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… Expand

Quantum gravitational corrections for spinning particles

- Physics
- 2016

A bstractWe 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… Expand

Gravitational interaction to one loop in effective quantum gravity

- Physics
- 1997

We carry out the first step of a program conceived, in order to build a realistic model, having the particle spectrum of the standard model and renormalized masses, interaction terms and couplings,… Expand

Quantum corrections to the gravitational potentials of a point source due to conformal fields in de Sitter

- Physics
- 2016

We derive the leading quantum corrections to the gravitational potentials in a de Sitter background, due to the vacuum polarization from loops of conformal fields. Our results are valid for arbitrary… Expand

Quantum corrections to the Schwarzschild and Kerr metrics

- Physics
- 2003

We examine the corrections to the lowest order gravitational interactions of massive particles arising from gravitational radiative corrections. We show how the masslessness of the graviton and the… Expand

Antiscreening in perturbative quantum gravity and resolving the Newtonian singularity

- Physics
- 2013

We calculate the quantum corrections to the Newtonian potential induced by a massless, nonminimally coupled scalar field on Minkowski background. We make use of the graviton vacuum polarization… Expand

Gauge-invariant quantum gravitational corrections to correlation functions

- Physics
- 2017

A recent proposal for gauge-invariant observables in inflation [R. Brunetti et al., JHEP 1608 (2016) 032] is examined. We give a generalisation of their construction to general background spacetimes.… Expand

General relativity as an effective field theory: The leading quantum corrections.

- Physics, Medicine
- Physical review. D, Particles and fields
- 1994

The treatment of gravity is described as a quantum effective field theory that allows a natural separation of the low energy quantum effects from the high energy contributions, and the leading quantum corrections to the gravitational interaction of two heavy masses are calculated. Expand

Propagators for gauge-invariant observables in cosmology

- Physics
- 2018

We make a proposal for gauge-invariant observables in perturbative quantum gravity in cosmological spacetimes, building on the recent work of Brunetti et al. [JHEP 08 (2016) 032]. These observables… Expand