One-loop divergences for $f(R)$ gravity
General Relativity and Quantum Cosmology
2018-03-07 v2 High Energy Physics - Theory
Abstract
We calculate the divergent part of the one-loop effective action for gravity on an arbitrary background manifold. Our result generalizes previous results for quantum corrections in gravity, which have been limited to spaces of constant curvature. We discuss a new technical aspect connected to operators with degenerate principal symbol. Our result has important applications in cosmology and allows to study the quantum equivalence between theories and scalar-tensor theories.
Cite
@article{arxiv.1711.04785,
title = {One-loop divergences for $f(R)$ gravity},
author = {Michael S. Ruf and Christian F. Steinwachs},
journal= {arXiv preprint arXiv:1711.04785},
year = {2018}
}
Comments
18 pages; references and comments added, accepted for publication in Phys. Rev. D