Two body scattering length of Yukawa model on a lattice
F. De Soto, J. Carbonell, C. Roiesnel, Ph. Boucaud, J.P. Leroy, O., P\`ene
TL;DR
This paper investigates methods to extract scattering parameters from Euclidean lattice simulations of a Yukawa model, comparing approaches in non-relativistic quantum mechanics and quantum field theory.
Contribution
It provides a comparative analysis of scattering parameter extraction techniques in Yukawa models within lattice simulations across two theoretical frameworks.
Findings
Effective extraction methods identified for Yukawa models.
Differences between quantum mechanics and quantum field theory approaches clarified.
Guidelines for lattice simulation analysis established.
Abstract
The extraction of scattering parameters from Euclidean simulations of a Yukawa model in a finite volume with periodic boundary conditions is analyzed both in non relativistic quantum mechanics and in quantum field theory.
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