Casimir Energy of the Laplacian on a Riemannian Manifold

Omenyi, Louis (2023) Casimir Energy of the Laplacian on a Riemannian Manifold. In: Research Highlights in Mathematics and Computer Science Vol. 4. B P International, pp. 83-98. ISBN 978-81-961092-4-0

Full text not available from this repository.

Abstract

Special values of spectral zeta function on Riemannian manifolds have been computed using various numerical approximation schemes. The roles of some of those values are of fundamental importance in quantum field theory. A particular value of interest in this chapter is the Casimir energy defined, mathematically, via the spectral zeta function as a function on the set of metrics on the manifold by

[1,2] and [3]. In this chapter, a general method for computing the Casimir energy of the Laplacian on the unit n-dimensional sphere, Sn by factoring the spectral zeta function through the Riemann zeta function
is addressed. The spectral zeta function of the Laplacian can be computed using this method on a variety of different Riemannian manifolds.

Item Type: Book Section
Subjects: Open Research Librarians > Computer Science
Depositing User: Unnamed user with email support@open.researchlibrarians.com
Date Deposited: 03 Oct 2023 09:33
Last Modified: 03 Oct 2023 09:33
URI: http://stm.e4journal.com/id/eprint/1613

Actions (login required)

View Item
View Item