Quantum long-range interactions in general relativity

Khriplovich, I.B.; Kirilin, G. G.

doi:10.1134/1.1777618

Cited by 66 publications

(104 citation statements)

References 22 publications

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“…The one-graviton amplitude amplitude in this limit is 14) and, after some manipulations, the multiple exchanges of this amplitude can be arranged into a form which exponentiates…”

Section: Jhep11(2016)117mentioning

confidence: 99%

“…Though such a theory has yet to be found, today we can address profound practical and reliable (low energy) consequences of the (currently unknown) underlying quantum theory through the modern viewpoint of effective field theory (EFT) [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. The EFT framework allows direct exploration of various quantitative phenomenological applications, see for example [24,25].…”

Section: Introductionmentioning

confidence: 99%

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Light-like scattering in quantum gravity

Bjerrum-Bohr

Donoghue

Holstein

et al. 2016

J. High Energ. Phys.

118

167

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We consider scattering in quantum gravity and derive long-range classical and quantum contributions to the scattering of light-like bosons and fermions (spin-0, spin-1 2 , spin-1) from an external massive scalar field, such as the Sun or a black hole. This is achieved by treating general relativity as an effective field theory and identifying the non-analytic pieces of the one-loop gravitational scattering amplitude. It is emphasized throughout the paper how modern amplitude techniques, involving spinor-helicity variables, unitarity, and squaring relations in gravity enable much simplified computations. We directly verify, as predicted by general relativity, that all classical effects in our computation are universal (in the context of matter type and statistics). Using an eikonal procedure we confirm the post-Newtonian general relativity correction for light-like bending around large stellar objects. We also comment on treating effects from quantum dependent terms using the same eikonal method.

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“…The one-graviton amplitude amplitude in this limit is 14) and, after some manipulations, the multiple exchanges of this amplitude can be arranged into a form which exponentiates…”

Section: Jhep11(2016)117mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Light-like scattering in quantum gravity

Bjerrum-Bohr

Donoghue

Holstein

et al. 2016

J. High Energ. Phys.

118

167

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show abstract

“…As first argued in [56,57] and confirmed by explicit calculations [58,59] low energy gravitational scattering amplitudes can be calculated unambiguously in this effective field theory, in spite of its perturbative non-renormalizability. The reason is that low energy effects correspond to non-local terms in the effective action that are non-analytic in momentum.…”

Section: Gravity With Scalar Fieldmentioning

confidence: 74%

Computing the effective action with the functional renormalization group

et al. 2016

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The "exact" or "functional" renormalization group equation describes the renormalization group flow of the effective average action k . The ordinary effective action 0 can be obtained by integrating the flow equation from an ultraviolet scale k = down to k = 0. We give several examples of such calculations at one-loop, both in renormalizable and in effective field theories. We reproduce the four-point scattering amplitude in the case of a real scalar field theory with quartic potential and in the case of the pion chiral Lagrangian. In the case of gauge theories, we reproduce the vacuum polarization of QED and of Yang-Mills theory. We also compute the two-point functions for scalars and gravitons in the effective field theory of scalar fields minimally coupled to gravity.

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“…Whereas the sum of the contributions of all the diagrams, listed in Ref. [7], is reparametrization invariant for the obvious reason stated above g qu 00 = 107 30…”

Section: Fig 2: Tree Diagramsmentioning

confidence: 99%

“…[6], [7]. Corrections concerned were proportional to ln |q 2 |, where q 2 is the transfer momentum squared.…”

mentioning

confidence: 99%

Quantum corrections to the Schwarzschild metric and reparametrization transformations

Kirilin

2007

Phys. Rev. D

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Quantum corrections to the Schwarzschild metric generated by loop diagrams have been considered by Bjerrum-Bohr, Donoghue, and Holstein (BHD) (2004)]. Though the same field variables in a covariant gauge are used, the results obtained differ from one another. The reason is that the different sets of diagrams have been used. Here we will argue that the quantum corrections to metric must be independent of the choice of field variables, i. e. must be reparametrization invariant. Using simple reparametrization transformation, we will show that the contribution considered by BDH, is not invariant under it. Meanwhile the contribution of the complete set of the diagrams, considered by KK, satisfies the requirement of the invariance.

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Quantum long-range interactions in general relativity

Cited by 66 publications

References 22 publications

Light-like scattering in quantum gravity

Light-like scattering in quantum gravity

Computing the effective action with the functional renormalization group

Quantum corrections to the Schwarzschild metric and reparametrization transformations

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