Long range forces in quantum gravity

Muzinich, I. J.; Vokos, Stamatis

doi:10.1103/physrevd.52.3472

Cited by 89 publications

(103 citation statements)

References 41 publications

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“…This effective field theory approach offers then a possible way around the familiar renormalization difficulties of general relativity in the low energy regime and, using this approach with background field quantization [8] of general relativity, one of us [9,10] some years ago derived the leading quantum and classical corrections to the Newtonian potential of two large non-relativistic masses. This calculation has since been the focus of a number of publications [11,12,13,14], and this work continues, most recently in the paper [15]. Unfortunately, due to difficulty of the calculation and its myriad of tensor indices there has been little agreement among these various authors.…”

Section: Introductionmentioning

confidence: 96%

Erratum: Quantum gravitational corrections to the nonrelativistic scattering potential of two masses [Phys. Rev. D67, 084033 (2003)]

Bjerrum-Bohr¹,

Donoghue²,

Holstein³

2005

Phys. Rev. D

210

290

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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 and the one-loop diagrams which yield the leading nonrelativistic post-Newtonian and quantum corrections to the gravitational scattering amplitude to second order in G are calculated in detail. The Fourier transformed amplitudes yield a nonrelativistic potential and our result is discussed in relation to previous calculations. The definition of a potential is discussed as well and we show how the ambiguity of the potential under coordinate changes is resolved.

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Section: Introductionmentioning

confidence: 96%

Erratum: Quantum gravitational corrections to the nonrelativistic scattering potential of two masses [Phys. Rev. D67, 084033 (2003)]

Bjerrum-Bohr¹,

Donoghue²,

Holstein³

2005

Phys. Rev. D

210

290

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show abstract

“…A Wilson-like potential seems to be possible to construct in general relativity using the Arnowitt-Deser-Misner formula for the total energy of the system [19]. This choice has been discussed in [20] in the case of pure gravity coupled to scalar fields.…”

Section: The Definition Of the Potentialmentioning

confidence: 99%

Leading quantum gravitational corrections to scalar QED

Bjerrum-Bohr¹

2002

Phys. Rev. D

141

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We consider the leading post-Newtonian and quantum corrections to the non-relativistic scattering amplitude of charged scalars in the combined theory of general relativity and scalar QED. The combined theory is treated as an effective field theory. This allows for a consistent quantization of the gravitational field. The appropriate vertex rules are extracted from the action, and the nonanalytic contributions to the 1-loop scattering matrix are calculated in the non-relativistic limit. The non-analytical parts of the scattering amplitude, which are known to give the long range, low energy, leading quantum corrections, are used to construct the leading post-Newtonian and quantum corrections to the two-particle non-relativistic scattering matrix potential for two charged scalars. The result is discussed in relation to experimental verifications.

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“…A diagrammatic derivation of the static 1/r 2 part of this Lagrangian, using Lorentz covariant worldline methods [28], was given in ref. [29]. A quantum field theoretic derivation of the 1/r 2 potential, treating the source particles as dynamical fields, was presented in [21,30].…”

Section: Eih Lagrangianmentioning

confidence: 99%

Effective field theory of gravity for extended objects

2006

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Using Effective Field Theory (EFT) methods we present a Lagrangian formalism which describes the dynamics of non-relativistic extended objects coupled to gravity. The formalism is relevant to understanding the gravitational radiation power spectra emitted by binary star systems, an important class of candidate signals for gravitational wave observatories such as LIGO or VIRGO. The EFT allows for a clean separation of the three relevant scales: rs, the size of the compact objects, r the orbital radius and r/v, the wavelength of the physical radiation (where the velocity v is the expansion parameter). In the EFT radiation is systematically included in the v expansion without need to separate integrals into near zones and radiation zones. Using the EFT, we show that the renormalization of ultraviolet divergences which arise at v 6 in post-Newtonian (PN) calculations requires the presence of two non-minimal worldline gravitational couplings linear in the Ricci curvature. However, these operators can be removed by a redefinition of the metric tensor, so that the divergences at arising at v 6 have no physically observable effect. Because in the EFT finite size features are encoded in the coefficients of non-minimal couplings, this implies a simple proof of the decoupling of internal structure for spinless objects to at least order v 6 . Neglecting absorptive effects, we find that the power counting rules of the EFT indicate that the next set of short distance operators, which are quadratic in the curvature and are associated with tidal deformations, do not play a role until order v 10 . These operators, which encapsulate finite size properties of the sources, have coefficients that can be fixed by a matching calculation. By including the most general set of such operators, the EFT allows one to work within a point particle theory to arbitrary orders in v.

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Long range forces in quantum gravity

Cited by 89 publications

References 41 publications

Erratum: Quantum gravitational corrections to the nonrelativistic scattering potential of two masses [Phys. Rev. D67, 084033 (2003)]

Erratum: Quantum gravitational corrections to the nonrelativistic scattering potential of two masses [Phys. Rev. D67, 084033 (2003)]

Leading quantum gravitational corrections to scalar QED

Effective field theory of gravity for extended objects

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