https://doi.org/10.1140/epjc/s10052-019-7403-2
Regular Article - Theoretical Physics
On non-perturbative unitarity in gravitational scattering
1
Arnold Sommerfeld Center for Theoretical Physics, Ludwig Maximilian University of Munich, Theresienstr. 37, 80333, Munich, Germany
2
Albert Einstein Institute, Am Mühlenberg 1, 14476, Potsdam-Golm, Germany
* e-mail: ivo.sachs@physik.lmu.de
Received:
29
September
2019
Accepted:
11
October
2019
Published online:
12
November
2019
We argue that the tree-level graviton-scalar scattering in the Regge limit is unitarized by non-perturbative effects within General Relativity alone, that is without resorting to any extension thereof. At Planckian energy the back reaction of the incoming graviton on the background geometry produces a non-perturbative plane wave which softens the UV-behavior in turn. Our amplitude interpolates between the perturbative graviton-scalar scattering at low energy and scattering on a classical plane wave in the Regge limit that is bounded for all values of s.
© The Author(s), 2019