On-shell techniques and universal results in quantum gravity

By N. Bjerrum-Bohr, John Donoghue, Pierre Vanhove. Journal of High Energy Physics, 2013

192 citations recorded by the source corpus.

We compute the leading post-Newtonian and quantum corrections to the Coulomb and Newtonian potentials using the full modern arsenal of on-shell techniques; we employ spinor-helicity variables everywhere, use the Kawai-Lewellen-Tye (KLT) relations to derive gravity amplitudes from gauge theory and use unitarity methods to extract the terms needed at one-loop order. We stress that our results are universal and thus will hold in any quantum theory of gravity with the same low-energy degrees of freedom as we are considering. Previous results for the corrections to the same potentials, derived historically using Feynman graphs, are verified explicitly, but our approach presents a huge simplification, since starting points for the computations are compact and tedious index contractions and various complicated integral reductions are eliminated from the onset, streamlining the derivations. We also analyze the spin dependence of the results using the KLT factorization, and show how the spinless corrections in the framework are easily seen to be independent of the interacting matter considered.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d1601575f34d05e944e3cfd1e80faeee8a4b7c75

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Scattering of spinning black holes from exponentiated soft factors (2018, background): “It was argued in [29, 31, 54] that for the spinless case the Compton amplitude for identical helicities leads to no classical contribution.”
Post-Minkowskian effective field theory for conservative binary dynamics (2020, unknown): “[3, 62–91].”
The classical double copy in maximally symmetric spacetimes (2017, result): “This is similar to the observation that information of the gauge theory is lost during the BCJ double copy procedure [72, 73].”
The simplest massive S-matrix: from minimal coupling to black holes (2018, background): “These include generalized unitarity methods [12, 13], double copy relations [14–17], and spinor-helicity variables [2, 3, 18–21].”
Classical and quantum scattering in post-Minkowskian gravity (2019, methodology): “Several tools, concerning the link between the classical PM dynamics and the quantum amplitude M, have been presented in the recent literature [13–26, 34, 35].”
Post-Minkowskian Hamiltonians in general relativity (2019, methodology): “[3] N.”