Dispersion relation for gauge-free electromagnetic drift kinetics

Recently, a new approach to gyrokinetics, invariant under electromagnetic gauge transformations, was developed. The gyrocenter equations of motion are now expressed in terms the perturbed fields instead potentials, form suitable for numerical simulations and analytic studies. In this paper, we verify that long-wavelength limit, i.e., drift-kinetic limit gyrokinetic theory, is line with existing work, providing solid foundation simulations. We compute dispersion relation theory slab geometry find agreement full Vlasov–Maxwell model.