New Regularization in Extra Dimensional Model and Renormalization Group Flow of the Cosmological Constant
High Energy Physics - Theory
2017-08-23 v1
Abstract
Casimir energy is calculated for 5D scalar theory in the {\it warped} geometry. A new regularization, called {\it sphere lattice regularization}, is taken. The regularized configuration is {\it closed-string like}. We numerically evaluate (4D UV-cutoff), (5D bulk curvature, warp parameter) and (extra space IR parameter) dependence of Casimir energy. 5D Casimir energy is {\it finitely} obtained after the {\it proper renormalization procedure.} The {\it warp parameter} suffers from the {\it renormalization effect}. We examine the cosmological constant problem.
Keywords
Cite
@article{arxiv.1003.5041,
title = {New Regularization in Extra Dimensional Model and Renormalization Group Flow of the Cosmological Constant},
author = {Shoichi Ichinose},
journal= {arXiv preprint arXiv:1003.5041},
year = {2017}
}
Comments
7 pages, 2 figures, Proceedings of SCGT09