Quantum Corrections to Black Hole Entropy in String Theory

Abstract

The one-loop contribution to the entropy of a black hole from field modes near the horizon is computed in string theory. It is modular invariant and ultraviolet finite. There is an infrared divergence that signifies an instability near the event horizon of the black hole. It is due to the exponential growth of the density of states and the associated Hagedorn transition characteristic of string theory. It is argued that this divergence is indicative of a tree level contribution, and the Bekenstein-Hawking-Gibbons formula for the entropy should be understood in terms of string states stuck near the horizon.

15 pages, harvmac, replaced with version published in Phys. Letts. B

References in corpus (7)

• Entropy and Area
• The Stretched Horizon and Black Hole Complementarity
• On Geometric Entropy
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• Strings, Black Holes and Lorentz Contraction
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• Finite Temperature Effects for Massive Fields in D-dimensional Rindler-like Spaces
• ONE-LOOP QUANTUM CORRECTIONS TO THE ENTROPY FOR A 4-DIMENSIONAL ETERNAL BLACK HOLE
• Comments on Entanglement Entropy in String Theory
• Gauge Invariant Target Space Entanglement in D-Brane Holography
• Bulk Entanglement Entropy and Matrices
• Localized tachyons in C^3/Z_N
• One-loop Quantum Corrections to the Entropy for an Extremal Reissner-Nordström Black Hole
• Degrees of freedom in two dimensional string theory
• Off-Shell Interactions for Closed-String Tachyons
• Revisiting noninteracting string partition functions in Rindler space
• Sectors of solutions in three-dimensional gravity and Black Holes
• Bouncing universe of entropy-corrected Friedmann equations
• String Theory in Polar Coordinates and the Vanishing of the One-Loop Rindler Entropy
• Finite Entanglement Entropy of Black Holes
• A perturbative expansion for entanglement entropy in string theory