Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-05-14
Prog.Theor.Phys.102:407-418,1999
Physics
High Energy Physics
High Energy Physics - Theory
PTPTeX, 15 pages, 8 Postscript figures;typos corrected, references added
Scientific paper
10.1143/PTP.102.407
We study dynamical gauge symmetry breaking via compactified space in the framework of SU(N) gauge theory in M^{d-1}\times S^1 (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.
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