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arXiv · 1003.5041

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

Shoichi Ichinose
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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 $\La$(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.

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Shoichi Ichinose. 2010-03-26. New Regularization in Extra Dimensional Model and Renormalization Group Flow of the Cosmological Constant. https://doi.org/10.1142/9789814329521_0048

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