Black hole determinants and quasinormal modes

Details Black hole determinants and quasinormal modes Black hole determinants and quasinormal modes

2009-08-19

arxiv.org/abs/0908.2657v2

Class.Quant.Grav.27:125001,2010

Physics

High Energy Physics

High Energy Physics - Theory

28 pages. v2: slightly improved exposition, references added

Scientific paper

10.1088/0264-9381/27/12/125001

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.

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