Gravitational interaction to one loop in effective quantum gravity

A. Akhundov; A. Shiekh; S. Bellucci

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Gravitational interaction to one loop in effective quantum gravity

A. Akhundov, S. Bellucci, A. Shiekh

General Relativity and Quantum Cosmology · Submitted 7 Nov 1996

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim These contributions are finite and independent from the finite value of the renormalization counter terms of the effective lagrangian.

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arXiv IDgr-qc/9611018 (version 2)

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CitationA. Akhundov, A. Shiekh, S. Bellucci. "Gravitational interaction to one loop in effective quantum gravity." arXiv:gr-qc/9611018 (1996). https://pith.science/paper/TKEGEPGD

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What the abstract itself states, as probabilities: claims first 0.55 · states limitation 0.93 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.95 · mentions code or data availability 0.01.

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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, etc. which include the class of quantum gravity corrections, obtained by handling gravity as an effective theory. This provides an adequate picture at low energies, i.e. much less than the scale of strong gravity (the Planck mass). Hence our results are valid, irrespectively of any proposal for the full quantum gravity as a fundamental theory. We consider only non-analytic contributions to the one-loop scattering matrix elements, which provide the dominant quantum effect at long distance. These contributions are finite and independent from the finite value of the renormalization counter terms of the effective lagrangian. We calculate the interaction of two heavy scalar particles, i.e. close to rest, due to the effective quantum gravity to the one loop order and compare with similar results in the literature.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	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, etc. which include the class of quantum gravity corrections, obtained by handling gravity as an effective theory.	contribution 0.64	0.76	0.10	asserted 0.96
s1	This provides an adequate picture at low energies, i.e. much less than the scale of strong gravity (the Planck mass).	limitation 0.76	0.16	0.07	asserted 0.96
s2	Hence our results are valid, irrespectively of any proposal for the full quantum gravity as a fundamental theory.	interpretation 0.75	0.17	0.15	asserted 1.00
s3	We consider only non-analytic contributions to the one-loop scattering matrix elements, which provide the dominant quantum effect at long distance.	method 0.69	0.71	0.11	asserted 1.00
s4	These contributions are finite and independent from the finite value of the renormalization counter terms of the effective lagrangian.	result 0.87	0.76	0.16	asserted 1.00
s5	We calculate the interaction of two heavy scalar particles, i.e. close to rest, due to the effective quantum gravity to the one loop order and compare with similar results in the literature.	contribution 0.97	0.95	0.17	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.94.

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Original abstract

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, etc. which include the class of quantum gravity corrections, obtained by handling gravity as an effective theory. This provides an adequate picture at low energies, i.e. much less than the scale of strong gravity (the Planck mass). Hence our results are valid, irrespectively of any proposal for the full quantum gravity as a fundamental theory. We consider only non-analytic contributions to the one-loop scattering matrix elements, which provide the dominant quantum effect at long distance. These contributions are finite and independent from the finite value of the renormalization counter terms of the effective lagrangian. We calculate the interaction of two heavy scalar particles, i.e. close to rest, due to the effective quantum gravity to the one loop order and compare with similar results in the literature.

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References

Forward citations

Cited by 12 Pith papers

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How the literature uses it

23 arXiv papers cite this in 33 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 19 sentences without a confident label

Compares with it 3 papers

Substituting also $κ^2 = 16 πG_N$, we get [equation] which is exactly the value computed in flat space by reconstructing the potential from scattering data and effective field equations [ref] .

Quantum corrections to the gravitational potentials of a point source due to conformal fields in de Sitter · The flat-space limit · 0.91
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
As already stated in subsection [ref], our results in the massless case are in full agreement with the known ones for the Newtonian potential [ref] .

Quantum gravitational corrections for spinning particles · Comparison with previous results · 0.88

Cites it as support 1 paper

This result supports the hypothesis of the universality of the effective approach to quantum gravity in the IR [ref] .

Higher-order regularity in local and nonlocal quantum gravity · Summary and conclusion · 0.99

Cites it as background 10 papers

EFT tools have been employed to derive one-loop quantum corrections to the Newtonian gravitational potential [ref] (see also Refs. [ref] ), and the Schwarzschild, Kerr, Reissner-Nordström, and Kerr-Newman metrics [ref] .

Quantum Schwarzschild geometry in effective-field-theory models of gravity · Introduction · 0.83
Such studies were pioneered by Donoghue [ref] , and followed by many others [ref] , [ref] , with differing results.

Time transients in the quantum corrected Newtonian potential induced by a massless nonminimally coupled scalar field · Introduction · 0.90
Such studies were pioneered by Donoghue [ref] , and followed by many others [ref] , with differing results.

Antiscreening in perturbative quantum gravity and resolving the Newtonian singularity · Introduction · 0.98

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