2010/07/31 by J. S. Dowker, J S Dowker
Physics and Astronomy · #Black Holes and Theoretical Physics #Entropy (arrow of time) #Joint quantum entropy #Quantum Mechanics and Non-Hermitian Physics #Quantum entanglement #Quantum many-body systems #Term (time) #Unit sphere #gr-qc #hep-th
paper · pdf · doi:10.1088/1751-8113/43/44/445402
published as J.Phys.A43:445402,2010 · 7 pages. Final revision. Historical comments amended. Minor remarks added
arxiv created 2010/08/14 · openalex publication_date 2010/10/11 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
The coefficient of the log term in the entanglement entropy associated with hyperspherical surfaces in flat spacetime is shown to equal the conformal anomaly by conformally transforming Euclideanized spacetime to a sphere and using already existing formulae for the relevant heat-kernel coefficients after cyclic factoring. The result follows from the fact that the conformal anomaly on this lune has an extremum at the ordinary sphere limit. A proof is given. Agreement with a recent evaluation of the coefficient is found.