Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-04-07
Int.J.Mod.Phys.A23:2245-2248,2008
Physics
High Energy Physics
High Energy Physics - Theory
3 pages, 3 figures, Proceedings of WS "Prog. String th. and QFT"(Osaka City Univ., 07.12.7-10)
Scientific paper
10.1142/S0217751X08040949
Casimir energy is calculated in the 5D warped system. It is compared with the flat one. The position/ momentum propagator is exploited. A new regularization, called {\it sphere lattice regularization}, is introduced. It is a direct realization of the geometrical interpretation of the renormalization group. The regularized configuration is closed-string like. We do {\it not} take the KK-expansion approach. Instead the P/M propagator is exploited, combined with the heat-kernel method. All expressions are closed-form (not KK-expanded form). Rigorous quantities are only treated (non-perturbative treatment). The properly regularized form of Casimir energy, is expressed in the closed form. We numerically evaluate its $\La$(4D UV-cutoff), $\om$(5D bulk curvature, warpedness parameter) and $T$(extra space IR parameter) dependence.
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