On the numerical method of Casimir energy renormalization in the presence of logarithmical divergencies

TL;DR

This paper introduces a new non-subtractive numerical method for Casimir energy renormalization that effectively handles logarithmic divergences, even with only numerical spectral data available.

Contribution

A novel non-subtractive renormalization technique for Casimir energy that works without explicit spectral asymptotics or analytic spectral equations.

Findings

Method successfully handles logarithmic divergences.

Results agree with traditional subtraction methods.

Applicable to numerically obtained spectra.

Abstract

A non-subtractive recipe of Casimir energy renormalization efficient in the presence of logarithmically divergent terms is proposed. It is demonstrated that it can be applied even then, when energy levels can be obtained only numerically and neither their asymptotical behavior, nor the analytic form of spectral equation is known. The results of calculations performed with this method are compared to those obtained by means of explicit subtraction of divergent terms from energy.