Power Law Corrections to BTZ Black Hole Entropy
Dharm Veer Singh
TL;DR
This paper investigates how quantum scalar fields affect the entropy of BTZ black holes, revealing that while ground states follow the area law, non-vacuum states introduce power-law corrections that violate it.
Contribution
It provides a detailed analysis of entanglement entropy in BTZ black holes, highlighting the impact of non-vacuum states on the area law and introducing power-law corrections.
Findings
Ground state entropy follows the area law.
Non-vacuum states violate the area law.
Corrections scale as power law.
Abstract
We study the quantum scalar field in the background of BTZ black hole and evaluate the entanglement entropy of the non-vacuum states. The entropy is proportional to the area of event horizon for the ground state, but the area law is violated in the case of non-vacuum states (first excited state and mixed states) and the corrections scale as power law.
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