Fermion propagator in a rotating environment

TL;DR

This paper derives the fermion propagator in a rotating environment using the exponential operator method, addressing symmetry loss and providing a momentum-space form suitable for perturbative calculations.

Contribution

It introduces a method to obtain the fermion propagator in a rotating setting, including an approximation that restores translational invariance for large angular velocities.

Findings

Propagator derived in cylindrical rotating environment.

Approximation valid for large angular velocities.

Result suitable for perturbative quantum field theory calculations.

Abstract

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.