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

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.

17pp., 9 figures; left eigenfunctions replaced by right ones, associated minor changes in text

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• The Adjoint Vacuum Sector of Massless QCD2
• The spectrum of states with one current acting on the adjoint vacuum of massless QCD2
• Towards finding the single-particle content of two-dimensional adjoint QCD
• Simulation of Dimensionally Reduced SYM-Chern-Simons Theory
• On a harmonic solution for two-dimensional adjoint QCD
• $1/N$ Corrections in ${\text{QCD}}_2$: Small Mass Limit and Threshold States
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• On the spectrum of QCD(1+1) with large numbers of flavours N_F and colours N_C near N_F/N_C = 0
• A general solution for the quark propagator in two-dimensional covariant gauge QCD