Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential

Davide Fermi, Livio Pizzocchero
May 07, 2015
Applying the general framework for local zeta regularization proposed in Part I of this series of papers, we renormalize the vacuum expectation value of the stress-energy tensor (and of the total energy) for a scalar field in presence of an external harmonic potential.
open access link Int. J. Mod. Phys. A 30(35), 1550213 (2015)
@article{Fermi:2015qra, author = "Fermi, Davide and Pizzocchero, Livio", title = "{Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential}", journal = "Int. J. Mod. Phys.", volume = "A30", year = "2015", number = "35", pages = "1550213", doi = "10.1142/S0217751X15502139", note = "[Int. J. Mod. Phys.A30,1550213(2015)]", eprint = "1505.01651", archivePrefix = "arXiv", primaryClass = "math-ph", SLACcitation = "%%CITATION = ARXIV:1505.01651;%%" }

Keywords: 
Zeta regularization, Casimir effect