Color triplet excitations in two dimensional QCD

TL;DR

This paper calculates color triplet excitations in two-dimensional SU(2) QCD, revealing their energy scales linearly with system size and diverging in the infinite volume limit, with detailed wave function analysis.

Contribution

It introduces a novel calculation method for color triplet excitations in 2D QCD and characterizes their properties at finite system sizes.

Findings

Color triplet excitation energy scales with system size as L/(2π) * g^2/π.

Triplet states' energies diverge as system size approaches infinity.

Wave functions of triplet states are analyzed for finite box lengths.

Abstract

We present a novel calculation of color triplet excitations in two dimensional QCD with SU(2) colors. It is found that the lowest energy of the color triplet excitations is proportional to the box length $L$, and can be written as ${\cal M}_C={L\over{2\pi}}{g^2\over{\pi}} $. Therefore, the color triplet excited states go to infinity when the system size becomes infinity. The properties of the color triplet states such as the wave functions are studied for the finite box length.