有哪些信誉好的足球投注网站On the Casimir effect for parallel plates in the spacetime with one extra compactified dime.pdf
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On the Casimir effect for parallel plates in the spacetime with one extra compactified dime
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On the Casimir effect for parallel plates in
the spacetime with one extra compactified
dimension
Hongbo Cheng?
Department of Physics, East China University of Science and Technology,
Shanghai 200237, China
Abstract
In this paper, the Casimir effect for parallel plates in the presence of one com-
pactified universal extra dimension is reexamined in detail. Having regularized the
expressions of Casimir force, we show that the nature of Casimir force is repulsive if
the distance between the plates is large enough, which is disagree with the experimental
phenomena.
PACS number(s): 11.10.Kk, 04.62.+v
?E-mail address: hbcheng@public4.sta.net.cn
1
The higher dimensional spacetime has become a powerful ingredient for unifying the interac-
tions. Kaluza and Klein put forward the idea that our universe has more than four dimensions
about 80 years ago [1, 2]. Their theory introduced an additional compactified dimension in order
to unify gravity and classical electrodynamics. Now the string theory is developed to unify the
quantum mechanics and gravity with the help of introducing seven extra spatial dimensions. It
is interesting that the order of the compactification scale of the extra dimensions has not been
confirmed. Some branches of string theory expect that the radii of the compactified universal extra
dimensions should be Planck size which is beyond our experimental reach of today and near future
[3, 4]. In some approaches large extra dimensions were also invoked for providing a breakthrough
of hierarchy problem [5-10]. The gauge fields may be localized on a four-dimensional brane, our
real universe, and only gravitons can propagate in the extra space transverse to the brane [8, 9]. It
is possible to probe the large additional spatial dimensions.
The Casimir effect is a fundamental aspect of quantum field theory in confined geometries and
the physical manifestation of zero-point energy [11-21]. The precisio
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