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

## TL;DR

This paper presents a non-perturbative analysis of dynamical mass generation in QED3, revealing that the physical photon Hilbert space aligns with the Maxwell-Chern-Simons framework.

## Contribution

It introduces a non-perturbative approach to understand mass generation in QED3 using the Kugo-Ojima-Nakanishi formalism.

## Key findings

- Physical Hilbert space matches Maxwell-Chern-Simons theory.
- Provides a non-perturbative description of dynamical mass generation.
- Clarifies the structure of the photon sector in QED3.

## Abstract

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.