  We show that if the Standard Model gauge fields and fermions propagate in
extra dimenions, a composite Higgs field with the correct quantum number can
arise naturally as a bound state due to the strong gauge interactions in higher
dimensions. The top quark mass and the Higgs mass can be predicted from the
infrared fixed points of the renormalization group equations. The top quark
mass is in good agreement with the experimental value, and the Higgs boson mass
is predicted to be ~200 GeV. There may be some other light bound states which
could be observed at upcoming collider experiments.
