Abstract
We calculate the heat kernel coefficients for the electromagnetic field in the background of a dielectric cylinder with nonequal speeds of light inside and outside. The coefficient whose vanishing makes the vacuum energy of a massless field unique, turns out to be zero in dilute order, i.e., in order , and nonzero beyond. As a consequence, the vanishing of the vacuum energy in the presence of a dielectric cylinder found by the Casimir-Polder summation must take place irrespective of the methods by which it might be calculated.
- Received 6 March 2001
DOI:https://doi.org/10.1103/PhysRevD.64.025019
©2001 American Physical Society