Local zeta regularization and the scalar Casimir effect IV. The case of a rectangular box

Davide Fermi, Livio Pizzocchero
May 13, 2015
Applying the general framework for local zeta regularization proposed in Part I of this series of papers, we compute the renormalized vacuum expectation value of several observables (in particular, of the stress-energy tensor and of the total energy) for a massless scalar field confined within a rectangular box of arbitrary dimension.
open access link Int. J. Mod. Phys. A 31 (2016), 1650003 (56 pp) (in a slightly revised version)
@article{Fermi:2015ora, author = "Fermi, Davide and Pizzocchero, Livio", title = "{Local zeta regularization and the scalar Casimir effect IV. The case of a rectangular box}", journal = "Int. J. Mod. Phys.", volume = "A31", year = "2016", number = "04n05", pages = "1650003", doi = "10.1142/S0217751X16500032", eprint = "1505.03276", archivePrefix = "arXiv", primaryClass = "math-ph", SLACcitation = "%%CITATION = ARXIV:1505.03276;%%" }

Keywords: 
Zeta regularization, Casimir effect