# The Continuum Limit of Non Compact QED

## TL;DR

This paper investigates the phase diagram and critical behavior of noncompact QED and related models, revealing non-mean-field critical exponents and nonperturbative renormalizability in strongly coupled regimes.

## Contribution

It provides a nonperturbative analysis of the phase structure and critical exponents of noncompact QED and the Gauged Nambu-Jona Lasinio model, connecting mean field predictions with numerical results.

## Key findings

- Critical exponents are non-mean-field along the phase transition line.
- Numerical results support nonperturbative renormalizability of strongly coupled QED.
- The mean field approximation relates critical exponents to the chiral condensate behavior.

## Abstract

Since four-fermion operators in strongly coupled $QED$ are nonperturbatively renormalizable, we analyze here the phase diagram and critical behaviour of the Gauged Nambu-Jona Lasinio model. Our mean field approximation relates the critical exponents along the continuous phase transition line with the mass dependence of the chiral condensate in the Coulomb phase of standard noncompact $QED$. The numerical results for noncompact $QED$ strongly suggest non mean field exponents along the critical line.