Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-06
Physics
High Energy Physics
High Energy Physics - Theory
63 pages (38 pages for text), 38 figures
Scientific paper
Casimir energy is calculated for the 5D electromagnetism and 5D scalar theory in the {\it warped} geometry. It is compared with the flat case(arXiv:0801.3064). A new regularization, called {\it sphere lattice regularization}, is taken. In the integration over the 5D space, we introduce two boundary curves (IR-surface and UV-surface) based on the {\it minimal area principle}. It is a {\it direct} realization of the geometrical approach to the {\it renormalization group}. The regularized configuration is {\it closed-string like}. We do {\it not} take the KK-expansion approach. Instead, the position/momentum propagator is exploited, combined with the {\it heat-kernel method}. All expressions are closed-form (not KK-expanded form). The {\it generalized} P/M propagators are introduced. We numerically evaluate $\La$(4D UV-cutoff), $\om$(5D bulk curvature, warp parameter) and $T$(extra space IR parameter) dependence of the Casimir energy. We present two {\it new ideas} in order to define the 5D QFT: 1) the summation (integral) region over the 5D space is {\it restricted} by two minimal surfaces (IR-surface, UV-surface) ; or 2) we introduce a {\it weight function} and require the dominant contribution is given by the {\it minimal surface}. Based on these, 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 meaning of the weight function and reach a {\it new definition} of the Casimir energy where {\it the 4D momenta(or coordinates) are quantized} with the extra coordinate as the Euclidean time (inverse temperature). We comment on the cosmological constant term and present an answer to the problem at the end. Dirac's large number naturally appears.
No associations
LandOfFree
Casimir Energy of 5D Warped System and Sphere Lattice Regularization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Casimir Energy of 5D Warped System and Sphere Lattice Regularization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Casimir Energy of 5D Warped System and Sphere Lattice Regularization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-719658