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arXiv · hep-th/0008245

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

Shoichi Ichinose
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Abstract

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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Shoichi Ichinose. 2001-09-19. Wall and Anti-Wall in the Randall-Sundrum Model and A New Infrared Regularization. https://doi.org/10.1103/physrevd.65.084038

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