Black hole determinants and quasinormal modes
High Energy Physics - Theory
2010-05-21 v2 Strongly Correlated Electrons
General Relativity and Quantum Cosmology
Abstract
We derive an expression for functional determinants in thermal spacetimes as a product over the corresponding quasinormal modes. As simple applications we give efficient computations of scalar determinants in thermal AdS, BTZ black hole and de Sitter spacetimes. We emphasize the conceptual utility of our formula for discussing `1/N' corrections to strongly coupled field theories via the holographic correspondence.
Cite
@article{arxiv.0908.2657,
title = {Black hole determinants and quasinormal modes},
author = {Frederik Denef and Sean A. Hartnoll and Subir Sachdev},
journal= {arXiv preprint arXiv:0908.2657},
year = {2010}
}
Comments
28 pages. v2: slightly improved exposition, references added