Wall and Anti-Wall in the Randall-Sundrum Model and A New Infrared Regularization

Details Wall and Anti-Wall in the Randall-Sundrum Model and A New Infrared Regularization Wall and Anti-Wall in the Randall-Sundrum Model and A New Infrared Regularization

2000-08-31

arxiv.org/abs/hep-th/0008245v3

Phys.Rev. D65 (2002) 084038

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 29 eps figure files

Scientific paper

10.1103/PhysRevD.65.084038

An approach to find the field equation solution of the Randall-Sundrum model with the $S^1/Z_2$ extra axis is presented. We closely examine the infrared singularity. The vacuum is set by the 5 dimensional Higgs field. Both the domain-wall and the anti-domain-wall naturally appear, at the {\it ends} of the extra compact axis, by taking a {\it new infrared regularization}. The stability is guaranteed from the outset by the kink boundary condition. A {\it continuous} (infrared-)regularized solution, which is a truncated {\it Fourier series} of a {\it discontinuous} solution, is utilized.The ultraviolet-infrared relation appears in the regularized solution.

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