Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential
Mathematical Physics
2016-02-09 v3 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1505.01651,
title = {Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential},
author = {Davide Fermi and Livio Pizzocchero},
journal= {arXiv preprint arXiv:1505.01651},
year = {2016}
}
Comments
Some overlaps with our works arXiv:1104.4330, arXiv:1505.00711, arXiv:1505.01044, arXiv:1505.03276. These overlaps aim to make the present paper self-contained, and do not involve the main results