Scattering of Glueballs and Mesons in Compact $QED$ in $2+1$ Dimensions

TL;DR

This paper investigates the scattering behavior of glueballs and mesons in compact 2+1 dimensional QED using Hamiltonian and lattice methods, providing non-perturbative insights into their interactions.

Contribution

It introduces a compact lattice momentum operator and applies a non-perturbative time-dependent method to compute scattering cross sections in a gauge theory.

Findings

Computed ground state energies and masses of glueballs and mesons.

Calculated scattering cross sections non-perturbatively.

Compared results with strong coupling perturbation theory.

Abstract

We study glueball and meson scattering in compact $QED_{2+1}$ gauge theory in a Hamiltonian formulation and on a momentum lattice. We compute ground state energy and mass, and introduce a compact lattice momentum operator for the computation of dispersion relations. Using a non-perturbative time-dependent method we compute scattering cross sections for glueballs and mesons. We compare our results with strong coupling perturbation theory.