Eur. Phys. J. C (2020) 80: 581
https://doi.org/10.1140/epjc/s10052-020-8146-9

Regular Article - Theoretical Physics

Bootstrapped Newtonian quantum gravity

¹ Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126, Bologna, Italy
² I.N.F.N., Sezione di Bologna, I.S. FLAG, viale B. Pichat 6/2, 40127, Bologna, Italy

^* e-mail: casadio@bo.infn.it

Received: 24 March 2020
Accepted: 15 June 2020
Published online: 29 June 2020

Abstract

We compute quantum corrections for the gravitational potential obtained by including a derivative self-coupling in its classical dynamics as a toy model for analysing quantum gravity in the strong field regime. In particular, we focus on quantum corrections to the classical solutions in the vacuum outside localised matter sources.