  We apply the exponential operator method to derive the propagator for a
fermion immersed within a rigidly rotating environment with cylindrical
geometry. Given that the rotation axis provides a preferred direction, Lorentz
symmetry is lost and the general solution is not translationally invariant in
the radial coordinate. However, under the approximation that the fermion is
completely dragged by the vortical motion, valid for large angular velocities,
translation invariance is recovered. The propagator can then be written in
momentum space. The result is suited to be used applying ordinary Feynman rules
for perturbative calculations in momentum space.
