Scattering phases for fermion-fermion scattering in the Gross-Neveu model
M. Goeckeler, H.A. Kastrup, J. Viola, J. Westphalen
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.
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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