# The phase structure of the 3-d Thirring model

## TL;DR

This paper investigates the phase structure of the three-dimensional Thirring model, providing evidence for a non-Gaussian fixed point through finite size scaling analysis, which enhances understanding of its critical behavior.

## Contribution

It introduces a finite size scaling approach to analyze the phase structure of the 3D Thirring model, avoiding typical extrapolation assumptions.

## Key findings

- Evidence for a non-Gaussian fixed point in the 3D Thirring model
- Finite size scaling supports the phase structure analysis
- Insights into the critical behavior of the model

## Abstract

We study the phase structure of the Thirring model in 3-d and find it to be compatible with the existence of a non gaussian fixed point of RG. A Finite Size Scaling argument is included in the equation of state in order to avoid the assumptions usually needed to extrapolate to the thermodynamical limit.