Truncated Heat Kernel and One-Loop Determinants for the BTZ Geometry

Abstract

There is a special relation between the spectrum and the {\it truncated} heat kernel of the Euclidean BTZ black hole with the Patterson-Selberg zeta function. Using an orbifold description of this relation we calculate the on-shell corrections of the gravitational quantum fluctuations.

10 pages. To appear in the European Phys. J. C

References in corpus (6)

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• One-loop Partition Functions of 3D Gravity
• Quantum scalar field on three-dimensional (BTZ) black hole instanton: heat kernel, effective action and thermodynamics
• The Sum over Topologies in Three-Dimensional Euclidean Quantum Gravity
• Ray-Singer Torsion for a Hyperbolic 3-Manifold and Asymptotics of Chern-Simons-Witten Invariant
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Cited by in corpus (5)

• The Heat Kernel on AdS_3 and its Applications
• Partition Functions for Quantum Gravity, Black Holes, Elliptic Genera and Lie Algebra Homologies
• Kac-Moody and Virasoro Characters from the Perturbative Chern-Simons Path Integral
• A Selberg zeta function for warped AdS${}_3$ black holes
• Topological Vertex, String Amplitudes and Spectral Functions of Hyperbolic Geometry