Abstract
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 × 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 ε 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 ε increases.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
