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

    https://doi.org/10.1142/9789814329521_0048Cited by:0 (Source: Crossref)
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    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 Λ(4D UV-cutoff), ω(5D bulk curvature, warp parameter) and T(extra space IR parameter) dependence of Casimir energy. 5D Casimir energy is finitely obtained after the proper renormalization procedure. The warp parameter ωsuffers from the renormalization effect. We examine the cosmological constant problem.