Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
Abstract
Over the last years the Asymptotic Safety program has matured into a serious candidate for a quantum theory of gravity compatible with observations. The rapid technical progress in computing renormalisation group flows for gravity and gravity-matter systems in the non-perturbative regime has put many interesting physical questions within reach. In particular, the construction of the non-perturbative quantum corrections to the propagation of fields on a fluctuating spacetime allows addressing the effective propagation of matter on a quantum spacetime or the possible resolution of spacetime singularities based on first principle computations. In this article, we assemble a technical toolbox for carrying out investigations on this promising research frontier. As a specific example we present results for the momentum-dependent two-point function for a scalar field induced by the quantum fluctuations of the underlying geometry in a self-consistent way.
Keywords
Cite
@article{arxiv.1907.02903,
title = {Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox},
author = {Benjamin Knorr and Chris Ripken and Frank Saueressig},
journal= {arXiv preprint arXiv:1907.02903},
year = {2020}
}
Comments
48 pages, 2 Mathematica notebooks