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.
Cite
@article{arxiv.1905.09415,
title = {Dynamical mass generation in QED$_3$: A non-perturbative approach},
author = {G. B. de Gracia and B. M. Pimentel and L. Rabanal},
journal= {arXiv preprint arXiv:1905.09415},
year = {2019}
}