Mesons in 2-Dimensional QCD on the Light Cone

TL;DR

This paper investigates two-dimensional QCD quantized on the light front, solving the Einstein-Schrödinger equation with Tamm-Dancoff truncation to derive meson mass relations consistent with previous results.

Contribution

It introduces a method to solve 2D QCD using light-front quantization and Tamm-Dancoff truncation, providing analytical relations for meson masses.

Findings

Derived the $M/g$ versus $m/g$ relation for mesons.

Found agreement with existing calculations.

Demonstrated effectiveness of the Tamm-Dancoff approach.

Abstract

Two dimensional QCD is quantized on the light front coordinate. We solve the Einstein-Schr\"odinger equation by the use of Tamm-Dancoff truncation and find that the simplest wavefunction produces the $M/g$ versus $m/g$ relation in agreement with other calculations, where $M$ and $m$ are the masses of the ground state and quarks, respectively.