A note on a gauge-gravity relation and functional determinants
High Energy Physics - Theory
2014-11-20 v1 General Relativity and Quantum Cosmology
Abstract
We present a refinement of a recently found gauge-gravity relation between one-loop effective actions: on the gauge side, for a massive charged scalar in 2d dimensions in a constant maximally symmetric electromagnetic field; on the gravity side, for a massive spinor in d-dimensional (Euclidean) anti-de Sitter space. The inclusion of the dimensionally regularized volume of AdS leads to complete mapping within dimensional regularization. In even-dimensional AdS, we get a small correction to the original proposal; whereas in odd-dimensional AdS, the mapping is totally new and subtle, with the `holographic trace anomaly' playing a crucial role.
Cite
@article{arxiv.1004.1394,
title = {A note on a gauge-gravity relation and functional determinants},
author = {R Aros and D E Diaz and A Montecinos},
journal= {arXiv preprint arXiv:1004.1394},
year = {2014}
}
Comments
6 pages, iop