Deconstructing Dimensional Deconstruction

Abstract

Dimensional deconstruction (DD) abstracts from higher dimensional models features of related 4--dimensional ones. DD was proposed in Refs.[1,2,3] as a scheme for constructing models of {\it naturally} light composite Higgs boson. These are models in which--{\it without fine--tuning of parameters}--the composite Higgs's mass M and vacuum expectation value v are much lighter than its binding energy scale \Lambda. We review the basic idea of DD. It is easy to arrange M << \Lambda. We show, however, that DD fails to give v << \Lambda in a model that is supposed to contain a naturally light composite Higgs [4].