Vacuum Polarization in AN AntiDe Sitter Space as AN Origin for a Cosmological Constant in a Brane World
Abstract
We show that the vacuum polarization of quantum fields in an antide Sitter space can naturally give 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 (≈10^{123}) as suggested by cosmological observations, all we need is a fourdimensional brane world (our universe) living in a fivedimensional antide Sitter space with a curvature radius r_{0} 10^{3} cm and a fundamental Planck energy M_{P} 10^{9} GeV, and a scalar field with a mass m ∼ r^{1}_{0 ∼} 10^{2} eV. Probing gravity down to a scale 10^{3} cm, which is attainable in the near future, will provide a test of the model.
 Publication:

Modern Physics Letters A
 Pub Date:
 2005
 DOI:
 10.1142/S0217732305016944
 arXiv:
 arXiv:hepth/0310075
 Bibcode:
 2005MPLA...20..733L
 Keywords:

 04.50.+h;
 04.62.+v;
 98.80.k;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Quantum field theory in curved spacetime;
 Cosmology;
 High Energy Physics  Theory;
 Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 10 pages, including 1 figure