Casimir energy and brane stability

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Obousy, R.¹  Cleaver, G.¹ 

[1] Baylor Univ, Dept Phys, Ctr Astrophys Space Phys & Engn Res, Waco, TX 76798 USA

关键词: Brane stability;    Casimir energy;    Randall-Sundrum;    Bulk space;    Higgs field;   

DOI  :  10.1016/j.geomphys.2010.11.006

来源: Elsevier

【 摘 要 】

We investigate the role of Casimir energy as a mechanism for brane stability in five-dimensional models with the fifth dimension compactified on an S-1/Z(2) orbifold, which includes the Randall-Sundrum two brane model (RS1). We employ a zeta-function regularization technique utilizing the Schwinger proper time method and the Jacobi theta function identity to calculate the one-loop effective potential. We show that the combination of the Casimir energies of a scalar Higgs field, the three generations of Standard Model fermions and one additional massive non-SM scalar in the bulk produces a non-trivial minimum of the potential. In particular, we consider a scalar field with a coupling in the bulk to a Lorentz violating vector particle localized to the compactified dimension. Such a scalar may provide a natural means of fine tuning needed for stabilization of the brane separation. Finally, we briefly review the possibility that Casimir energy plays a role in generating the currently observed epoch of cosmological inflation by examining a simple five-dimensional anisotropic metric. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free