Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-03
AIPConf.Proc.903:415-418,2007
Physics
High Energy Physics
High Energy Physics - Theory
4 pages. To appear in the proceedings of the XLIst Rencontres de Moriond "Contents and Structures of the Universe" (La Thuile,
Scientific paper
10.1063/1.2735212
We consider a codimension two scalar theory with brane-localised Higgs type potential. The six-dimensional field has Dirichlet boundary condition on the bounds of the transverse compact space. The regularisation of the brane singularity yields renormalisation group evolution for the localised couplings at the classical level. In particular, a tachyonic mass term grows at large distances and hits a Landau pole. We exhibit a peculiar value of the bare coupling such that the running mass parameter becomes large precisely at the compactification scale, and the effective four-dimensional zero mode is massless. Above the critical coupling, spontaneous symmetry breaking occurs and there is a very light state.
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