The Casimir energy anomaly for a point interaction
Mathematical Physics
2020-08-10 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
The Casimir energy for a massless, neutral scalar field in presence of a point interaction is analyzed using a general zeta-regularization approach developed in earlier works. In addition to a regular bulk contribution, there arises an anomalous boundary term which is infinite despite renormalization. The intrinsic nature of this anomaly is briefly discussed.
Keywords
Cite
@article{arxiv.1909.00604,
title = {The Casimir energy anomaly for a point interaction},
author = {Davide Fermi},
journal= {arXiv preprint arXiv:1909.00604},
year = {2020}
}
Comments
5 pages. To appear in the special issue of Mod.Phys.Lett.A containing the Proceedings of the 4th Casimir Symposium (St.Petersburg, June 24-28, 2019)