The background scale Ward identity in quantum gravity
High Energy Physics - Theory
2017-03-08 v2
Abstract
We show that with suitable choices of parametrization, gauge fixing and cutoff, the anomalous variation of the effective action under global rescalings of the background metric is identical to the derivative with respect to the cutoff, i.e. to the beta functional, as defined by the exact RG equation. The Ward identity and the RG equation can be combined, resulting in a modified flow equation that is manifestly invariant under global background rescalings.
Keywords
Cite
@article{arxiv.1611.07005,
title = {The background scale Ward identity in quantum gravity},
author = {Roberto Percacci and Gian Paolo Vacca},
journal= {arXiv preprint arXiv:1611.07005},
year = {2017}
}
Comments
13 pages, latex, few typos corrected, version accepted for publication on EPJC