Connection between $ζ$ and cutoff regularizations of Casimir energies

Details Connection between $ζ$ and cutoff regularizations of Casimir energies Connection between $ζ$ and cutoff regularizations of Casimir energies

1995-01-26

arxiv.org/abs/hep-th/9501122v1

Int.J.Mod.Phys. A11 (1996) 2871-2886

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex, no figures

Scientific paper

10.1142/S0217751X96001395

We study the connection between $\zeta $- 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 $d$-dimensional boxes under periodic boundary conditions.

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