P. Fischer, D. Grumiller, W. Kummer, D.V. Vassilevich
S-Matrix for s-Wave Gravitational Scattering
The paper is published: Phys. Lett. B 521 (2001) 357-363

MSC:

83C45 Quantization of the gravitational field

81U20 $S$-matrix theory, etc.

PACS: 04.60.Kz;04.60.Gw;11.10.Lm;11.80.Et
Abstract: In the $s$-wave approximation the 4D Einstein gravity with (scalar)
matter fields can be reduced to an effective 2D dilaton gravity
coupled nonminimally to the matter fields. We study the leading
order (tree level) vertices. The 4-particle matrix element
is calculated explicitly. It is interpreted as scattering
with formation of a virtual black hole state. As one novel feature we
predict the gravitational decay of $s$-waves.