{ "id": "1008.4314", "version": "v2", "published": "2010-08-25T16:49:59.000Z", "updated": "2010-08-31T09:47:57.000Z", "title": "Entanglement entropy of round spheres", "authors": [ "Sergey N. Solodukhin" ], "comment": "11 pages, no figures, minor modification", "journal": "Phys.Lett.B693:605-608,2010", "doi": "10.1016/j.physletb.2010.09.018", "categories": [ "hep-th", "cond-mat.stat-mech", "gr-qc" ], "abstract": "We propose that the logarithmic term in the entanglement entropy computed in a conformal field theory for a $(d-2)$-dimensional round sphere in Minkowski spacetime is identical to the logarithmic term in the entanglement entropy of extreme black hole. The near-horizon geometry of the latter is $H_2\\times S_{d-2}$. For a scalar field this proposal is checked by direct calculation. We comment on relation of this and earlier calculations to the ``brick wall'' model of 't Hooft. The case of generic 4d conformal field theory is discussed.", "revisions": [ { "version": "v2", "updated": "2010-08-31T09:47:57.000Z" } ], "analyses": { "keywords": [ "entanglement entropy", "generic 4d conformal field theory", "logarithmic term", "extreme black hole", "dimensional round sphere" ], "tags": [ "journal article" ], "publication": { "journal": "Physics Letters B", "year": 2010, "month": "Oct", "volume": 693, "number": 5, "pages": 605 }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "inspire": 866168, "adsabs": "2010PhLB..693..605S" } } }