Dynamical mass generation in QED$_3$: A non-perturbative approach

In this work we provide a non-perturbative description of the phenomenon of dynamical mass generation in the case of quantum electrodynamics in $2+1$ dimensions. We will use the Kugo–Ojima–Nakanishi formalism to conclude that the physical Hilbert space of the asymptotic photon field is the same as that of the Maxwell–Chern–Simons.