  We develop covariant fermionic fields of space-like particles. As an
application of the formalism we discuss the example of superluminous tachyons
with imaginary rest mass and spin 1/2 forming fermionic ensembles that is
relativistically covariant. We use the tachyonic single particle Hilbert space
to build the quantum stochastic fields as this notion is more consensual,
instability in vacuum quantum field than faster than light particles, in field
theory with applications to superconductivity via tachyonic condensation. We
also establish the localizability and as a consequence the causality of
tachyons (in terms of anticommutators) using the systems of imprimitivity
framework and derive the Dirac equation for the space-like particle that has an
additional helicity term.
