Functional determinants and Casimir energy in higher dimensional spherically symmetric background potentials
High Energy Physics - Theory
2016-05-30 v1 Mathematical Physics
math.MP
Abstract
In this paper we analyze the spectral zeta function associated with a Laplace operator acting on scalar functions on an N-dimensional Euclidean space in the presence of a spherically symmetric background potential. The obtained analytic continuation of the spectral zeta function is then used to derive very simple results for the functional determinant of the operator and the Casimir energy of the scalar field.
Keywords
Cite
@article{arxiv.1602.04724,
title = {Functional determinants and Casimir energy in higher dimensional spherically symmetric background potentials},
author = {Guglielmo Fucci and Klaus Kirsten},
journal= {arXiv preprint arXiv:1602.04724},
year = {2016}
}
Comments
17 pages, LaTeX