Time transients in the quantum corrected Newtonian potential induced by a massless nonminimally coupled scalar field

Anja Marunovic; Tomislav Prokopec

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Time transients in the quantum corrected Newtonian potential induced by a massless nonminimally coupled scalar field

Anja Marunovic, Tomislav Prokopec

General Relativity and Quantum Cosmology · Submitted 26 Jan 2011

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The authors' main claim As an application we compute the leading quantum correction to the Newtonian potential of a point particle.

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arXiv ID1101.5059 (version 2)

Pith IDVAXTSFEZ, Pith's permanent record of this paper and its review

CitationAnja Marunovic, Tomislav Prokopec. "Time transients in the quantum corrected Newtonian potential induced by a massless nonminimally coupled scalar field." arXiv:1101.5059 (2011). https://pith.science/paper/VAXTSFEZ

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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 an application we compute the leading quantum correction to the Newtonian potential of a point particle. The novel aspect of the calculation is the use of the Schwinger-Keldysh formalism, within which we calculate the time transients induced by switching on of the graviton-scalar coupling.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We calculate the one loop graviton vacuum polarization induced by a massless, nonminimally coupled scalar field on Minkowski background.	contribution 1.00	0.95	0.06	asserted 1.00
s1	We make use of the Schwinger-Keldysh formalism, which allows us to study time dependent phenomena.	method 0.99	0.79	0.03	asserted 0.99
s2	As an application we compute the leading quantum correction to the Newtonian potential of a point particle.	contribution 0.60	0.95	0.27	asserted 1.00
s3	The novel aspect of the calculation is the use of the Schwinger-Keldysh formalism, within which we calculate the time transients induced by switching on of the graviton-scalar coupling.	contribution 1.00	0.94	0.16	asserted 1.00

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Original abstract

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 an application we compute the leading quantum correction to the Newtonian potential of a point particle. The novel aspect of the calculation is the use of the Schwinger-Keldysh formalism, within which we calculate the time transients induced by switching on of the graviton-scalar coupling.

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8 arXiv papers cite this in 18 sentences

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Papers citing it · 9 sentences without a confident label

Compares with it 3 papers

The first terms in Eqs. ([ref]–[ref]) represent the one-loop contributions from a conformal scalar field, and in the limit when $H→0, a→1$ they reduce to the Minkowski space results of Refs. [ref] , representing a nontrivial check of our principal results ([ref]–[ref]).

Quantum Scalar Corrections to the Gravitational Potentials on de Sitter Background · Computing the one-loop source integrals · 0.88
This is in strong contrast to existing quantum gravitational results at one-loop order, e.g., the corrections to the Newtonian potential [ref] , where the result is unambiguous for separated points and the dependence on the finite parts of higher-derivative counterterms only appears at coincidence.

One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance · Discussion · 1.00
Refs. [ref] are also considering general quantum corrections to the metric due to loops of massless scalars, and their result reads (simplified and converted to our notation)

Quantum gravitational corrections for spinning particles · Comparison with previous results · 0.97

Cites it as support 1 paper

Hints that the mechanism of singularity-avoidance could be realized within the Asymptotic Safety scenario for Quantum Gravity have been found in [ref] via the so-called RG-improvement procedure (see, e.g., [ref] and references therein), in [ref] by means of non-perturbative computations of quantum corrections to the Newtonian potential based on the functional renormalization group (FRG) method, and in [ref] through a one-particle irreducible resummation of one-loop vacuum fluctuations of non-minimally coupled, massless, scalar matter.

From renormalization group flows to cosmology · Gravitational antiscreening: a historical perspective · 0.97

Cites it as background 3 papers

One important prediction that can be made in this way are quantum corrections to the Newtonian gravitational potential, which have been studied by many authors [ref] .

Graviton corrections to the Newtonian potential using invariant observables · Introduction · 0.95
In fact, quantum corrections to the Newton potential have been studied by many authors [ref] , with the result that the effects are there, but too small to be observed at present.

Quantum corrections for spinning particles in de Sitter · Introduction · 0.85
One especially important effect predicted by effective field theories of gravity are quantum corrections to the Newtonian potential, which have been studied by many authors [ref] .

Quantum gravitational corrections for spinning particles · Introduction · 0.88

What it cites · 12 sentences without a confident label

Builds on 1 paper

This is the generalization of the graviton vacuum polarization induced by a minimally coupled scalar ($ξ=0$) calculated by Park and Woodard in [ref] to the case of a massless, nonminimally coupled, scalar ($ξ≠0$), and it is one of the main results of this work.

Solving the Effective Field Equations for the Newtonian Potential · Non-local contributions · 1.00

Uses the method or tool of 1 paper

In order to extract it, the following identities can be employed [ref] , which are easily derived from ([ref]–[ref]):

Stress Tensor Correlators in the Schwinger-Keldysh Formalism · Appendix D: Non-local contributions · 0.98

Compares with 1 paper

Comparing, however, with Park and Woodard [ref] , which calculate the effect of a minimally coupled scalar only, our results agree perfectly.

Solving the Effective Field Equations for the Newtonian Potential · The Quantum Corrected Newtonian potential · 1.00

Cites as background 10 papers

Such studies were pioneered by Donoghue [ref] , and followed by many others [ref] , [ref] , with differing results.

General relativity as an effective field theory: The leading quantum corrections · Introduction · 0.90
Such studies were pioneered by Donoghue [ref] , and followed by many others [ref] , [ref] , with differing results.

Gravitational interaction to one loop in effective quantum gravity · Introduction · 0.90
Such studies were pioneered by Donoghue [ref] , and followed by many others [ref] , [ref] , with differing results.

On the Quantum Corrections to the Newtonian Potential · Introduction · 0.90

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