English

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

Mathematical Physics 2015-07-09 v3 High Energy Physics - Theory math.MP Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1505.01044,
  title  = {Local zeta regularization and the scalar Casimir effect II. Some explicitly solvable cases},
  author = {Davide Fermi and Livio Pizzocchero},
  journal= {arXiv preprint arXiv:1505.01044},
  year   = {2015}
}

Comments

Some overlaps with our works arXiv:1104.4330, arXiv:1505.00711, arXiv:1505.01651, arXiv:1505.03276. These overlaps aim to make the present paper self-contained, and do not involve the main results