Induced Quantum Long-Range Interactions in General Relativity

Low energy theorems of quantum gravity from effective field theory

“…Our goal is to examine corrections to this lowest order potential due to two-graviton exchange and thereby to define a higher order gravitational potential. This problem has been previously studied by Iwasaki using noncovariant perturbation theory [28], and by Khriplovich and Kirilin [29], [30] and by Bjerrum-Bohr, Donoghue, and Holstein [31] using conventional Feynman diagrams. Our approach will be similar to that used in [29], [30] and [31].…”

“…This problem has been previously studied by Iwasaki using noncovariant perturbation theory [28], and by Khriplovich and Kirilin [29], [30] and by Bjerrum-Bohr, Donoghue, and Holstein [31] using conventional Feynman diagrams. Our approach will be similar to that used in [29], [30] and [31]. The diagrams utilized are shown in Figure 3 and the various interaction vertices are derived in Appendix A so it is merely a matter [32], which have finally been corrected [31].…”

Black hole radiation spectrum in loop quantum gravity: isolated horizon framework

“…which implements the condition of a spherical horizon. With this definition of states, the value γ = 0.274 for the BI-parameter is obtained [5,6,15]. When a brute force analysis of states is performed, what it is being counted, roughly speaking, is all the different ways to combine the labels (j, m) (for any possible total number of punctures) that are consistent with the above constraints and with the distinguishability of punctures as it is explained in [6].…”

Connecting Compton and Gravitational Compton Scattering

“…In this way the discontinuity of one-loop corrections to the gravitational scattering of spinless systems can be straightforwardly found to be [27], [26]. The imaginary piece of the scattering amplitude arises from the second Born approximation, which is subtracted when defining the second order potential…”