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arXiv · 1007.3865

Hyperspherical entanglement entropy

J. S. Dowker
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Abstract

The coefficient of the log term in the entanglement entropy associated with hyperspherical surfaces in flat space-time is shown to equal the conformal anomaly by conformally transforming Euclideanised space--time to a sphere and using already existing formulae for the relevant heat--kernel coefficients after cyclic factoring. The analytical reason for the result is that the conformal anomaly on the lune has an extremum at the ordinary sphere limit. A proof is given. Agreement with a recent evaluation of the coefficient is found.

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J. S. Dowker. 2010-07-22. Hyperspherical entanglement entropy. https://doi.org/10.1088/1751-8113/43/44/445402

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