Casimir Force at a Finite Cut-Off |
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Authors: | XIONG Ai-Min and CHEN Xiao-Song |
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Institution: | Institute of Theoretical Physics, Chinese Academy of
Sciences, P.O. Box 2735, Beijing 100080, China |
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Abstract: | We calculate the Casimir force at a finite cut-off Λ by
summing the forces induced by the all fluctuation modes. We show
that the Casimir force is independent of the cut-off function in the
limit LΛ → ∞. There is a correction in the order of
(LΛ)-2, when
LΛ is finite and large. This
correction becomes remarkable when
L is comparable with the
microscopic length scale
Λ-1. It has been demonstrated that the Casimir force at a finite cut-off should be defined by
summing forces of all fluctuation modes, instead of the derivative
of Casimir energy with respect to L where an additional derivative
of the cut-off function has been introduced. |
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Keywords: | vacuum fluctuation Casimir force finite cut-off |
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