On the Bosonic Spectrum of QCD(1+1) with SU(N) Currents

TL;DR

This paper calculates the spectrum of two-dimensional QCD with SU(N) currents using DLCQ, successfully reproducing known spectra and providing new results for adjoint fermions, while avoiding multi-particle state complications.

Contribution

It introduces a current-based formulation of 2D QCD and constructs a DLCQ Hamiltonian that yields clearer spectra, including new findings for adjoint fermions.

Findings

Reproduces 't Hooft and large N_f spectra

Spectrum free from multi-particle state contamination

Provides new results for adjoint fermions

Abstract

In this note we calculate the spectrum of two-dimensional QCD. We formulate the theory with SU(N_c) currents rather than with fermionic operators. We construct the Hamiltonian matrix in DLCQ formulation as a function of the harmonic resolution K and the numbers of flavors N_f and colors N_c. The resulting numerical eigenvalue spectrum is free from trivial multi-particle states which obscured previous results. The well-known 't Hooft and large N_f spectra are reproduced. In the case of adjoint fermions we present some new results.