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

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

2010-03-26

arxiv.org/abs/1003.5041v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 2 figures, Proceedings of SCGT09

Scientific paper

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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