Casimir Energy of 5D Electro-Magnetism and Sphere Lattice Regularization - High Energy Physics - TheoryReport as inadecuate




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Abstract: Casimir energy is calculated in the 5D warped system. It is compared with theflat one. The position- momentum propagator is exploited. A new regularization,called {\it sphere lattice regularization}, is introduced. It is a directrealization of the geometrical interpretation of the renormalization group. Theregularized configuration is closed-string like. We do {\it not} take theKK-expansion approach. Instead the P-M propagator is exploited, combined withthe heat-kernel method. All expressions are closed-form not KK-expanded form.Rigorous quantities are only treated non-perturbative treatment. The properlyregularized form of Casimir energy, is expressed in the closed form. Wenumerically evaluate its $\La$4D UV-cutoff, $\om$5D bulk curvature,warpedness parameter and $T$extra space IR parameter dependence.



Author: Shoichi Ichinose

Source: https://arxiv.org/







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