Connection between $\zeta$ and cutoff regularizations of Casimir energies
High Energy Physics - Theory
2016-09-06 v1 funct-an
Functional Analysis
Abstract
We study the connection between - and cutoff-regularized Casimir energies for scalar fields. We show that, in general, both regularization schemes lead to divergent contributions, and to finite parts which do not coincide. We determine the relationships among the various coefficients appearing in one approach and the other. As an application, we discuss the case of scalar fields in -dimensional boxes under periodic boundary conditions.
Keywords
Cite
@article{arxiv.hep-th/9501122,
title = {Connection between $\zeta$ and cutoff regularizations of Casimir energies},
author = {C. G. Beneventano and E. M. Santangelo},
journal= {arXiv preprint arXiv:hep-th/9501122},
year = {2016}
}
Comments
16 pages, latex, no figures