Black hole determinants and quasinormal modes

By Frederik Denef, S. Hartnoll, S. Sachdev. 2009

155 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f50720cdf408335de920c34af7db0d431a88918d

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Quantum oscillations and black hole ringing (2009, methodology): “In the paper [27] we derive the following formulae expressing the one loop contributions to the action coming from bosonic and fermionic determinants as a sum over the quasinormal modes of the operators MB and MF respectively.”
Holographic Quantum Matter (2016, background): “In [186; 187] formulae for these determinants were derived in terms of the quasinormal modes of the fluctuations.”
Semi-holographic Fermi liquids (2010, background): “This will be useful in isolating and studying the thermodynamic properties of the Fermi surface, including their response to an external magnetic field already studied in [37, 38].”