Scalar Fields in BTZ Black Hole Spacetime and Entanglement Entropy
Dharm Veer Singh, Sanjay Siwach
TL;DR
This paper investigates quantum scalar fields in BTZ black hole spacetime, calculating entanglement entropy to understand quantum corrections to black hole entropy, including numerical evaluation of logarithmic correction coefficients.
Contribution
It introduces a discretized model for entanglement entropy in BTZ spacetime and computes quantum corrections, including the coefficient of logarithmic terms.
Findings
Leading entropy matches Bekenstein-Hawking entropy
Sub-leading corrections are quantum in nature
Numerical coefficient for logarithmic correction calculated
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.
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