  An electroweak-like theory of a broken chiral symmetry that is constructed by
the collective modes of fermion pairs from four fermion interactions of one
lepton generation is presented. The products of Dirac spinors lead to the
separation of the two chiral fermions to couple respectively with two different
kinds of polarization states. Because of a broken vacuum, a fermion and an
anti-fermion out of the four pair up to form vector bosons, which behave like
gauge bosons, such as $W^\pm$, $Z$ and $\gamma$ in a group structure of
$SU(2)_L\times U(1)_Y$. The pairing of spinors only allows left-handed fermions
to interact with charged bosons to secure the gauge invariance, while, as
desired, $Z$-like bosons mediate different weak forces for two chiral fermions
and $\gamma$-like bosons interact freely with fermions.
