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A Comment on the Geometric Entropy and Conical Space

M. Hotta, T. Kato, K. Nagata

gr-qcarXiv:gr-qc/9611058

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.

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