Meson-Meson Scattering in Lattice QED_2+1
H. R. Fiebig (Physics Department FIU University Park Miami, Florida, 33199, USA), R. M. Woloshyn (TRIUMF, 4004 Wesbrook Mall, Vancouver, B.C.,, Canada)

TL;DR
This paper computes meson-meson scattering phase shifts in 3D lattice QED using correlation matrices, revealing short-range repulsion and intermediate-range attraction in meson interactions.
Contribution
It introduces a method to extract scattering phase shifts from lattice QED simulations, providing new insights into meson interactions in 2+1 dimensions.
Findings
Phase shifts for l=0 and l=2 are consistent with theoretical expectations.
Results show short-range repulsion and intermediate-range attraction.
Method successfully extracts discrete energy levels from correlation matrices.
Abstract
Scattering phase shifts of a meson-meson system in staggered 3-dimensional lattice QED are computed. The main task of the simulation is to obtain a discrete set of two-body energy levels. These are extracted from a 4-point time correlation matrix and then used to obtain scattering phase shifts. The results for the l=0 and l=2 partial waves are consistent with short- range repulsion and intermediate-range attraction of the residual meson- meson interaction.
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