A Comment on the Geometric Entropy and Conical Space

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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No Figures. To appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/14/7/024

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.

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