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The top quark condensate theory is an alternative to the Standard Model without a scalar Higgs field, or alternatively put, the Higgs field is a composite field.
The left handed top quark belongs to a <math>(3,2)_{1\over 6}<math> representation wheareas the left handed antitop antiquark belongs to a <math>(\bar{3},1)_{-{2\over 3}}<math> representation. The top and antitop quark forms a bound state described by a <math>(1,2)_{-{1\over 2}}<math> composite scalar field. This composite field forms a condensate, leading to a fermion condensate which spontaneously breaks the electroweak and hypercharge symmetry into electromagnetism.
This model predicts that the electroweak scale matches the top quark mass, which it does.
The nice thing about this theory is there is no problem of stabilizing the Higgs mass squared from quadratically divergent radiative corrections (see Hierarchy problem), and thus, no need for supersymmetry.
See also fermion condensate, technicolor (physics)
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