A Comment on the Geometric Entropy and Conical Space

Abstract

It has been recently pointed out that a definition of the geometric entropy using the partition function in a conical space does not in general lead to a positive definite quantity. For a scalar field model with a non-minimal coupling we clarify the origin of the anomalous behavior from the viewpoint of the canonical formulation.

No Figures. To appear in Classical and Quantum Gravity

References in corpus (5)

• Black Hole Entropy and Entropy of Entanglement
• Black Hole Entropy without Brick Walls
• Renormalization of Black Hole Entropy and of the Gravitational Coupling Constant
• One-loop Renormalization of Black Hole Entropy Due to Non-minimally Coupled Matter
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• On holographic entanglement entropy of Horndeski black holes
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• Entropy localization and extensivity in the semiclassical black hole evaporation
• The universal viscosity to entropy density ratio from entanglement
• State-Dependent Divergences in the Entanglement Entropy
• Entanglement and RG in the $O(N)$ vector model
• The Edge of Entanglement: Getting the Boundary Right for Non-Minimally Coupled Scalar Fields
• Geometric Entropy and Curvature Coupling in Conical Spaces: zeta Function Approach
• Ambiguity in the evaluation of the effective action on the cone