Numerical Regularization Procedures for Estimating the Casimir Energy of a Massless Scalar Field in a Square
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概要
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We consider a perturbation technique to numerically estimate the Casimir energy based on a mode-summation method. We apply our technique to calculate the Casimir energy of a massless scalar field in a square a \times a whose eigenfrequencies are given by \pi c \sqrt{m^{2}+(n+\epsilon/n)^{2}}/a with integers n and m and consider the cut-off dependence of the summation of the zero-point energy. We show that unless the value of \epsilon is zero, a logarithm divergent term appears in the total zero-point energy with an exponential cut-off function, and the sign of the independent term of the cut-off frequency, which is regarded as the Casimir energy changes from positive to negative as \epsilon increases.
- 2011-09-15
著者
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Inui Norio
Graduate School Of Engineering Himeji Institute Of Technology
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Inui Norio
Graduate School of Engineering, University of Hyogo, Himeji, Hyogo 671-2280, Japan
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