Year: 1998
Type: article
Abstract: A scale-dependent effective action for gravity is introduced and an exact nonperturbative evolution equation is derived which governs its renormalization group flow. It is invariant under general coordinate transformations and satisfies modified Becchi-Rouet-Stora Ward identities. The evolution equation is solved for a simple truncation of the space of actions. In $2+\ensuremath{\varepsilon}$ dimensions, nonperturbative corrections to the \ensuremath{\beta} function of Newton's constant are derived and its dependence on the cosmological constant is investigated. In 4 dimensions, Einstein gravity is found to be ``antiscreening;'' i.e., Newton's constant increases at large distances.
Author: M. Reuter
Institution: Deutsches Elektronen-Synchrotron DESY
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2592434037