A modified Schwinger's formula for the Casimir effect
High Energy Physics - Theory
2015-06-26 v1
Abstract
After briefly reviewing how the (proper-time) Schwinger's formula works for computing the Casimir energy in the case of "scalar electrodynamics" where the boundary conditions are dictated by two perfectly conducting parallel plates with separation "a" in the Z-axis, we propose a slightly modification in the previous approach based on an analytical continuation method. As we will see, for the case at hand our formula does not need the use of Poisson summation to get a (renormalized) finite result.
Cite
@article{arxiv.hep-th/9312069,
title = {A modified Schwinger's formula for the Casimir effect},
author = {M. V. Cougo-Pinto and C. Farina and Antonio J. Segui-Santonja},
journal= {arXiv preprint arXiv:hep-th/9312069},
year = {2015}
}
Comments
6 pages, DFTUZ/93/14 (a short version will appear in the Letters in Math. Phys.)