  We propose a Lorentz-covariant Yang-Mills spin-gauge theory, where the
function valued Dirac matrices play the role of a non-scalar Higgs-field. As
symmetry group we choose $SU(2) \times U(1)$. After symmetry breaking a
non-scalar Lorentz-covariant Higgs-field gravity appears, which can be
interpreted within a classical limit as Einstein's metrical theory of gravity,
where we restrict ourselves in a first step to its linearized version.
