Radiative stabilization of warped space

Higher-dimensional field theory has been applied to explore various issues inrecent particle physics such as the gauge hierarchy problem. In order for suchapproaches to be viable, a crucial ingredient is to fix the sizes of extradimensions at some finite values, which sizes are generically free parametersin the theory. In this paper, we present several schemes to determine theradius of extra dimension in warped five-dimensional theory. In every case, anon-vanishing Fayet-Iliopoulos term for abelian gauge factor plays a crucialrole for the radius stabilization. It is radiatively generated in the presenceof charged matter fields and the compactification is therefore spontaneous, notforced by selected operators. The low-energy supersymmetry is broken orunbroken, and the radius can be fixed to give a small or large scale hierarchywithout any fine tuning of parameters. We also discuss a model of the radiusstabilization correlated with Yukawa hierarchy and supersymmetry breaking.Comment: 23 pages, 2 figure