Numerical study of the decay amplitudes in two dimensional QCD

TL;DR

This paper numerically investigates the decay amplitudes and mass eigenstates in two-dimensional QCD, examining spectrum stability, screening, and confinement to understand the theory's dynamical properties.

Contribution

It provides a detailed numerical analysis of decay amplitudes and spectrum stability in 2D QCD, highlighting differences in potential behavior affecting confinement.

Findings

Spectrum stability depends on large-distance potential behavior

Screening effects influence confinement in 2D QCD

Decay amplitudes vary with mesonic state energy levels

Abstract

After presenting a survey of theoretical results concerning the structure of two-dimensional QCD, we present a numerical study related to the mass eigenstates and the decay amplitudes of higher mesonic states. We discuss in detail the fate of important dynamical points such as stability of the spectrum and the problem of screening versus confinement in this context. We point out differences in the large distance behaviour of the potential, which can be responsible for the question of stability of the spectrum, as well as whether it is finite.