Abstract
We derive new covariant expressions for the Dirac bilinears based on a
generic representation of the Dirac spinors. These bilinears depend on a
direction $n$ in Minkowski space which specifies the form of dynamics. We argue
that such a dependence is unavoidable in a relativistic theory with spin, since
it originates from Wigner rotation effects. Contrary to most of the expressions
found in the literature, our ones are valid for all momenta and polarizations
of the spinors. As a by-product, we also obtained a generic expression for the
polarization four-vector.
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