Scalar Fields in BTZ Black Hole Spacetime and Entanglement Entropy

Abstract

We study the quantum scalar fields in background of BTZ black hole spacetime. We calculate the entanglement entropy using the discretized model, which resembles a system of coupled harmonic oscillators. The leading term of the entropy formula is standard Bakenstein-Hawking entropy and sub-leading corresponds to quantum corrections to black hole entropy. We calculate the co-efficent of sub-leading logarithmic corrections numerically.

journal version, numerical section on entropy revised

References in corpus (2)

• Entanglement entropy of black holes
• Numerical determination of the entanglement entropy for free fields in the cylinder

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