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 $\La$(4D UV-cutoff), $\om$(5D bulk curvature, warp parameter) and $T$(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} $\om$ suffers from the { \it renormalization effect}. We examine the cosmological constant problem.

Categories: hep-th

New Regularization in Extra Dimensional Model and Renormalization Group Flow of the Cosmological Constant