The Gauss-Bonnet Coupling Constant in Classically Scale-Invariant Gravity
Abstract
We discuss the renormalization of higher-derivative gravity, both without and with matter fields, in terms of two primary coupling constants rather than three. A technique for determining the dependence of the Gauss-Bonnet coupling constant on the remaining couplings is explained, and consistency with the local form of the Gauss-Bonnet relation in four dimensions is demonstrated to all orders in perturbation theory. A similar argument is outlined for the Hirzebruch signature and its coupling. We speculate upon the potential implications of instantons on the associated nonperturbative coupling constants.
Keywords
Cite
@article{arxiv.1412.5572,
title = {The Gauss-Bonnet Coupling Constant in Classically Scale-Invariant Gravity},
author = {Martin B. Einhorn and D. R. Timothy Jones},
journal= {arXiv preprint arXiv:1412.5572},
year = {2015}
}
Comments
11 pages, no figures, revtex-4.1. v2 includes additional references and minor changes in text. v3 has minor changes in text in Section II.B. Results unchanged