{ "id": "1304.7682", "version": "v2", "published": "2013-04-29T15:11:23.000Z", "updated": "2015-08-12T13:31:25.000Z", "title": "Quantum Energy Inequality for the Massive Ising Model", "authors": [ "Henning Bostelmann", "Daniela Cadamuro", "Christopher J. Fewster" ], "comment": "Slightly extended version, as published in Phys. Rev. D; 6 pages, 2 figures", "journal": "Phys. Rev. D 88, 025019 (2013)", "doi": "10.1103/PhysRevD.88.025019", "categories": [ "math-ph", "gr-qc", "hep-th", "math.MP" ], "abstract": "A Quantum Energy Inequality (QEI) is derived for the massive Ising model, giving a state-independent lower bound on suitable averages of the energy density; the first QEI to be established for an interacting quantum field theory with nontrivial S-matrix. It is shown that the Ising model has one-particle states with locally negative energy densities, and that the energy density operator is not additive with respect to combination of one-particle states into multi-particle configurations.", "revisions": [ { "version": "v1", "updated": "2013-04-29T15:11:23.000Z", "comment": "5 pages, 1 figure" }, { "version": "v2", "updated": "2015-08-12T13:31:25.000Z" } ], "analyses": { "subjects": [ "81T40", "03.70.+k", "11.10.Cd" ], "keywords": [ "quantum energy inequality", "massive ising model", "one-particle states", "state-independent lower bound", "energy density operator" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2013, "month": "Jul", "volume": 88, "number": 2, "pages": "025019" }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1230930, "adsabs": "2013PhRvD..88b5019B" } } }