Strichartz Estimates and Scattering for the Massless Reduced Dirac-Fock Equation

In this paper, we establish Strichartz estimates for the reduced Dirac-Fock equation for 3D massless spinors, linearized around non-localized equilibria. Our analysis covers both the random field and the density matrix frameworks. As an application, we deduce scattering for the corresponding nonlinear problem with a high-frequency cut-off.