Casimir Energy of an irregular membrane
High Energy Physics - Theory
2014-01-29 v3 High Energy Physics - Phenomenology
Abstract
We compute the Casimir energy which arises in a bi-dimensional surface due to the quantum fluctuations of a scalar field. We assume that the boundaries are irregular and the field obeys Dirichlet condition. We re-parametrize the problem to one which has flat boundary conditions and the irregularity is treated as a perturbation in the Laplace-Beltrami operator which appears. Later, to compute the Casimir energy, we use zeta function regularization. It is compared the results coming from perturbation theory with the WKB method.
Keywords
Cite
@article{arxiv.1312.7716,
title = {Casimir Energy of an irregular membrane},
author = {B. Droguett and J. C. Rojas},
journal= {arXiv preprint arXiv:1312.7716},
year = {2014}
}
Comments
9 pages