Fermion propagator in a rotating environment
High Energy Physics - Phenomenology
2021-05-05 v2 High Energy Physics - Theory
Nuclear Theory
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.
Cite
@article{arxiv.2102.03476,
title = {Fermion propagator in a rotating environment},
author = {Alejandro Ayala and L. A. Hernández and K. Raya and R. Zamora},
journal= {arXiv preprint arXiv:2102.03476},
year = {2021}
}
Comments
Expanded discussion, version to appear in Phys. Rev. D