Hyperspherical entanglement entropy
High Energy Physics - Theory
2014-11-21 v4 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1007.3865,
title = {Hyperspherical entanglement entropy},
author = {J. S. Dowker},
journal= {arXiv preprint arXiv:1007.3865},
year = {2014}
}
Comments
7 pages. Final revision. Historical comments amended. Minor remarks added