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

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.

36 pages, 29 eps figure files

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• Exactly solved BPS wall and winding number in N=1 Supergravity
• Field Quantization in 5D Space-Time with Z${}_2$-parity and Position/Momentum Propagator
• A New Mechanism for Radius Stabilization in Warped Supersymmetry
• Quantum Dynamics of a Bulk-Boundary System