English

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

Mathematical Physics 2016-02-09 v4 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 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.

Keywords

Cite

@article{arxiv.1505.03276,
  title  = {Local zeta regularization and the scalar Casimir effect IV. The case of a rectangular box},
  author = {Davide Fermi and Livio Pizzocchero},
  journal= {arXiv preprint arXiv:1505.03276},
  year   = {2016}
}

Comments

Some overlaps with our works arXiv:1104.4330, arXiv:1505.00711, arXiv:1505.01044, arXiv:1505.01651. These overlaps aim to make the present paper self-contained, and do not involve the main results. In comparison with version v3, reference [26] added