# Scattering phases for fermion-fermion scattering in the Gross-Neveu model

## TL;DR

This paper uses Monte Carlo simulations and Lüscher's method to determine fermion-fermion scattering phases in the 2D Gross-Neveu model, comparing results with analytical predictions.

## Contribution

It applies Lüscher's method to extract scattering phases from Monte Carlo data in the Gross-Neveu model, providing a numerical validation of analytical results.

## Key findings

- Scattering phases obtained match analytical predictions.
- Demonstrates effectiveness of Lüscher's method in fermionic models.
- Provides numerical data supporting theoretical calculations.

## Abstract

We extract scattering phases for fermion-fermion scattering from Monte Carlo simulations of the two-dimensional Gross-Neveu model. This is done by means of L\"uscher's method, which exploits the volume dependence of the energies of two-particle states. The results are compared with the analytical predictions.

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Source: https://tomesphere.com/paper/hep-lat/9509059