Regularized Casimir energy for an infinite dielectric cylinder subject to light-velocity conservation

Abstract

The Casimir energy of a dilute dielectric cylinder, with the same light-velocity as in its surrounding medium, is evaluated exactly to first order in $\hat{I}{¾}^2$ and numerically to higher orders in $\hat{I}{¾}^2$. The first part is carried out using addition formulas for Bessel functions, and no Debye expansions are required.