Local zeta regularization and the scalar Casimir effect II. Some explicitly solvable cases

Davide Fermi, Livio Pizzocchero
May 05, 2015
In Part I of this series of papers we have described a general formalism to compute the vacuum effects of a scalar field via local (or global) zeta regularization. In the present Part II we exemplify the general formalism in a number of cases which can be solved explicitly by analytical means. More in detail we deal with configurations involving parallel or perpendicular planes and we also discuss the case of a three-dimensional wedge.
open access link
@article{Fermi:2015oaa, author = "Fermi, Davide and Pizzocchero, Livio", title = "{Local zeta regularization and the scalar Casimir effect II. Some explicitly solvable cases}", year = "2015", eprint = "1505.01044", archivePrefix = "arXiv", primaryClass = "math-ph", SLACcitation = "%%CITATION = ARXIV:1505.01044;%%" }

Keywords: 
Zeta regularization, Casimir effect