Casimir and Vacuum Energy of 5D Warped System and Sphere Lattice Regularization
High Energy Physics - Theory
2007-12-27 v1
Abstract
We examine the Casimir energy of 5D electro-magnetism in the recent standpoint. Z symmetry is taken into account. After confirming the consistency with the past result, we do new things based on a new regularization. The regularization is based on the minimal area principle and the regularized configuration is the {\it sphere lattice}. We do it not in the Kaluza-Klein expanded form but in the closed form. The formalism is based on the heat-kernel approach using the position/momentum propagator. A useful expression of the Casimir energy, in terms of the P/M propagator, is obtained. Renormalization flow is realized as the change along the extra-axis.
Keywords
Cite
@article{arxiv.0712.4043,
title = {Casimir and Vacuum Energy of 5D Warped System and Sphere Lattice Regularization},
author = {Shoichi Ichinose},
journal= {arXiv preprint arXiv:0712.4043},
year = {2007}
}
Comments
Proceedings of ICGA8, 4 pages, 3 figures