Extraction of hadron-hadron potentials on the lattice within 2+1 dimensional QED

TL;DR

This paper demonstrates how to extract meson-meson potentials from lattice gauge theory in 2+1 dimensional QED, revealing features like a repulsive core and dipole attraction, influenced by sea quarks.

Contribution

It introduces a method to compute hadron-hadron potentials on the lattice within 2+1 dimensional QED, highlighting effects of confinement and dynamical fermions.

Findings

Meson-meson potential exhibits a short-range repulsive core.

Dipole-dipole forces cause attraction at intermediate distances.

Sea quarks soften the overall potential.

Abstract

A potential between mesons is extracted from 4-point functions within lattice gauge theory taking 2+1 dimensional QED as an example. This theory possesses confinement and dynamical fermions. The resulting meson-meson potential has a short-ranged hard repulsive core due to antisymmetrization. The expected dipole-dipole forces lead to attraction at intermediate distances. Sea quarks lead to a softer form of the total potential.