文献类型：期刊文献

英文题名：The Casimir Effect for Parallel Plates in the Spacetime with a Fractal Extra Compactified Dimension

作者：Cheng, Hongbo[1,2]

机构：[1]E China Univ Sci & Technol, Dept Phys, Shanghai 200237, Peoples R China;[2]Shanghai Key Lab Astrophys, Shanghai 200234, Peoples R China

年份：2013

卷号：52

期号：9

起止页码：3229

外文期刊名：INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000322579400031)】；

基金：This work is supported by NSFC No. 10875043 and is partly supported by the Shanghai Research Foundation No. 07dz22020.

语种：英文

外文关键词：Casimir effect; Kaluza-Klein model; Fractal dimension

摘要：The Casimir effect for massless scalar fields satisfying Dirichlet boundary conditions on the parallel plates in the presence of one fractal extra compactified dimension is analyzed. We obtain the Casimir energy density by means of the regularization of multiple zeta function with one arbitrary exponent. We find a limit on the scale dimension like to keep the negative sign of the renormalized Casimir energy which is the difference between the regularized energy for two parallel plates and the one with no plates. We derive and calculate the Casimir force relating to the influence from the fractal additional compactified dimension between the parallel plates. The larger scale dimension leads to the greater revision on the original Casimir force. The two kinds of curves of Casimir force in the case of integer-numbered extra compactified dimension or fractal one are not superposition, which means that the Casimir force show whether the dimensionality of additional compactified space is integer or fraction.