{ "id": "hep-th/0310075", "version": "v1", "published": "2003-10-08T13:07:04.000Z", "updated": "2003-10-08T13:07:04.000Z", "title": "Vacuum Polarization in an Anti-de Sitter Space as an Origin for a Cosmological Constant in a Brane World", "authors": [ "Li-Xin Li" ], "comment": "10 pages, including 1 figure", "journal": "Mod.Phys.Lett.A20:733-743,2005", "doi": "10.1142/S0217732305016944", "categories": [ "hep-th", "astro-ph", "gr-qc" ], "abstract": "In this Letter we show that the vacuum polarization of quantum fields in an anti-de Sitter space naturally gives rise to a small but nonzero cosmological constant in a brane world living in it. To explain the extremely small ratio of mass density in the cosmological constant to the Planck mass density in our universe (\\approx 10^{-123}) as suggested by cosmological observations, all we need is a four-dimensional brane world (our universe) living in a five-dimensional anti-de Sitter space with a curvature radius r_0 \\sim 10^{-3}cm and a fundamental Planck energy M_P \\sim 10^9 GeV, and a scalar field with a mass m \\sim r_0^{-1}\\sim 10^{-2}eV. Probing gravity down to a scale \\sim 10^{-3}cm, which is attainable in the near future, will provide a test of the model.", "revisions": [ { "version": "v1", "updated": "2003-10-08T13:07:04.000Z" } ], "analyses": { "subjects": [ "04.50.+h", "04.62.+v", "98.80.-k" ], "keywords": [ "cosmological constant", "vacuum polarization", "five-dimensional anti-de sitter space", "fundamental planck energy", "planck mass density" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 630124 } } }