2008/06/26 by Mitsutoshi Fujita, Tatsuma Nishioka, Tadashi Takayanagi · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum many-body systems #hep-lat #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/09/016
published as JHEP0809:016,2008 · 18 pages, 2 figures, v2: reference added
arxiv created 2008/06/26 · openalex publication_date 2008/09/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
It has recently been proposed that the entanglement entropy can be an order parameter of confinement/deconfinement transitions. To find a clear evidence, we introduce a new quantity called the geometric entropy, which is related to the entanglement entropy via a double Wick rotation. We analyze the geometric entropy and manifestly show that its value becomes discontinuous at the Hagedorn temperature both in the free N =4 super Yang-Mills and in its supergravity dual.