Casimir and Vacuum Energy of 5D Warped System and Sphere Lattice Regularization

Details Casimir and Vacuum Energy of 5D Warped System and Sphere Lattice Regularization Casimir and Vacuum Energy of 5D Warped System and Sphere Lattice Regularization

2007-12-25

arxiv.org/abs/0712.4043v1

Physics

High Energy Physics

High Energy Physics - Theory

Proceedings of ICGA8, 4 pages, 3 figures

Scientific paper

We examine the Casimir energy of 5D electro-magnetism in the recent standpoint. Z$_2$ 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.

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