文献类型：期刊文献

中文题名：Casimir Effect at Finite Temperature in the Presence of One Fractal Extra Compactified Dimension

英文题名：Casimir Effect at Finite Temperature in the Presence of One Fractal Extra Compactified Dimension

作者：Cheng Hong-Bo[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：2012

卷号：58

期号：8

起止页码：229

中文期刊名：Communications in Theoretical Physics

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：CSTPCD;;Scopus;WOS:【SCI-EXPANDED(收录号:WOS:000307583500011)】；CSCD:【CSCD2011_2012】；PubMed;

基金：Supported by National Natural Science Foundation of China under Grant No. 10875043 and is partly by the Shanghai Research Foundation under Grant No. 07dz22020

语种：英文

中文关键词：Casimir effect; Kaluza-Klein model

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

摘要：We discuss the Casimir effect for massless scalar fields subject to the Diriehlet boundary conditions on the parallel plates at finite temperature in the presence of one fraetal extra eompactified dimension. We obtain the Casimir energy density with the help of the regularization of multiple zeta function with one arbitrary exponent and further the renormalized Casimir energy density involving the thermal corrections. It is found that when the temperature is sumciently high, the sign of the Casimir energy remains negative no matter how great the scale dimension 6 is within its allowed region. We derive and calculate the Casimir force between the parallel plates affected by the fractal additional compactified dimension and surrounding temperature. The stronger thermal influence leads the force to be stronger. The nature of the Casimir force keeps attractive.
We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified dimension. We obtain the Casimir energy density with the help of the regularization of multiple zeta function with one arbitrary exponent and further the renormalized Casimir energy density involving the thermal corrections. It is found that when the temperature is sufficiently high, the sign of the Casimir energy remains negative no matter how great the scale dimension delta is within its allowed region. We derive and calculate the Casimir force between the parallel plates affected by the fractal additional compactified dimension and surrounding temperature. The stronger thermal influence leads the force to be stronger. The nature of the Casimir force keeps attractive.