# Strongly Coupled QED

## TL;DR

This paper reviews non-perturbative approaches to QED, arguing against Gaussian behavior and supporting non-Gaussian critical behavior based on numerical data and theoretical considerations.

## Contribution

It provides a theoretical argument against Gaussian behavior in QED and analyzes numerical data supporting non-Gaussian critical behavior.

## Key findings

- Gaussian behavior of QED is ruled out by numerical data.
- Numerical data supports non-Gaussian critical behavior in QED.
- Theoretical arguments challenge the Gaussian scenario in QED.

## Abstract

A short review of some of the most relevant contributions to non-perturbative QED is done. Since a Gaussian behaviour of QED \`a la $\lambda\phi^4$ has been ruled out by the numerical data, I analyse the other two most reliable scenarios, i.e. triviality \`a la Nambu-Jona Lasinio and non-Gaussian critical behaviour. I give a suggestive theoretical argument against a Gaussian behaviour of QED \`a la Nambu-Jona Lasinio, and show how the numerical data for the susceptibility at the critical point of QED support this result.