Vacuum energy of scalar fields on spherical shells with general matching conditions
High Energy Physics - Theory
2024-02-21 v1 Mathematical Physics
math.MP
Abstract
In this work we analyze the spectral zeta function for massless scalar fields propagating in a -dimensional flat space under the influence of a shell potential. The shell potential is defined in terms of the two-interval self-adjoint extensions of the Hamiltonian describing the dynamics of the scalar field. After performing the necessary analytic continuation, we utilize the spectral zeta function of the system to compute the vacuum energy of the field.
Keywords
Cite
@article{arxiv.2310.16756,
title = {Vacuum energy of scalar fields on spherical shells with general matching conditions},
author = {Guglielmo Fucci and César Romaniega Sancho},
journal= {arXiv preprint arXiv:2310.16756},
year = {2024}
}
Comments
25 pages, 2 figures