Casimir self-energy of a \delta-\delta' sphere
High Energy Physics - Theory
2023-01-18 v1
Abstract
We extend previous work on the vacuum energy of a massless scalar field in the presence of singular potentials. We consider a single sphere denoted by the so-called "delta-delta prime" interaction. Contrary to the Dirac delta potential, we find a nontrivial one-parameter family of potentials such that the regularization procedure gives an unambiguous result for the Casimir self-energy. The procedure employed is based on the zeta function regularization and the cancellation of the heat kernel coefficient a_2. The results obtained are in agreement with particular cases, such as the Dirac delta or Robin and Dirichlet boundary conditions.
Keywords
Cite
@article{arxiv.2212.04733,
title = {Casimir self-energy of a \delta-\delta' sphere},
author = {C. Romaniega and J. M. Munoz-Castaneda and I. Cavero-Pelaez},
journal= {arXiv preprint arXiv:2212.04733},
year = {2023}
}