Renormalization Group Flow and the Dark Energy Problem
Abstract
Casimir energy is calculated for 5D scalar theory in the warped geometry. A new regularization, called sphere lattice regularization, is taken. The regularized configuration is closed-string like. We numerically evaluate (4D UV-cutoff), (5D bulk curvature, extra space UV-boundary parameter) and T(extra space IR-boundary parameter) dependence of Casimir energy. 5D Casimir energy is finitely obtained after the proper renormalization procedure. The warp parameter suffers from the renormalization effect. Regarding Casimir energy as the main contribution to the cosmological term, we examine the dark energy problem.
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