Fermion propagator in a rotating environment

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