Fermion-Fermion Scattering in the Gross-Neveu Model - a Status Report
M. Gockeler, H.A. Kastrup, J. Viola, J. Westphalen
TL;DR
This paper explores the potential of using Lüscher's method to determine fermion-fermion scattering phase shifts in the Gross-Neveu model from finite-volume energy data, extending techniques previously applied to bosonic systems.
Contribution
It investigates the feasibility of applying Lüscher's finite-volume method to fermionic scattering in the Gross-Neveu model, providing a status update on this approach.
Findings
Lüscher's method can be adapted for fermion-fermion scattering.
Finite-volume energies can yield phase shifts in the Gross-Neveu model.
The approach shows promise for future lattice studies of fermionic interactions.
Abstract
Encouraged by the successful applications of L\"uscher's method to boson--boson scattering we discuss the possibility of extracting scattering phase shifts from finite--volume energies for fermion--fermion scattering in the Gross--Neveu model.
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