Hyperspherical entanglement entropy

Details Hyperspherical entanglement entropy Hyperspherical entanglement entropy

2010-07-22

arxiv.org/abs/1007.3865v4

Physics

High Energy Physics

High Energy Physics - Theory

7 pages. Final revision. Historical comments amended. Minor remarks added

Scientific paper

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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