Matter Representations and Gauge Symmetry Breaking via Compactified Space

We study dynamical gauge symmetry breaking via compactified space in the framework of SU(N) gauge theory in M × S (d = 4, 5, 6) space-time. In particular, we study in detail the gauge symmetry breaking in SU(2) and SU(3) gauge theories when the models contain both fundamental and adjoint matter. As a result, we find that any pattern of gauge symmetry breaking can be realized by selecting an appropriate set of numbers (Nf , Nad) in these cases. This is achieved without tuning boundary conditions of the matter fields. As a by-product, in some cases we obtain an effective potential which has no curvature at the minimum, thus leading to massless Higgs scalars, irrespective of the size of the compactified space. ∗) E-mail: [email protected] 1 typeset using PTPTEX.sty §