QCD_{1+1} at large N_F and N_C

Abstract

QCD in 1+1 dimensions is examined in the limit of a large number of colors and flavors. The Hamiltonian matrix is given in a Fock space spanned by 't Hooft meson states and, for the case of zero fermion mass, a submatrix is diagonalized numerically to give the low-lying spectrum as a function of $N_F/N_C$. Pair creation effects generate bound states which are complicated mixtures of components of different meson number. There are a number of nontrivial zero modes; in the massive part of the spectrum some states tend to a well-defined $N_F\gg N_C$ limit while others become unstable and disappear. The masses of most states remain remarkably constant over a large range of $N_F/N_C$.

7 revtex pages, 2 postscript figures appended

References in corpus (3)

• $1+1$-Dimensional Large $N$ QCD coupled to Adjoint Fermions
• Two Dimensional QCD coupled to Adjoint Matter and String Theory
• Glueball spectrum in a (1+1)-dimensional model for QCD

Cited by in corpus (7)

• Aspects of SU(N_c) Gauge Theories in the Limit of Small Number of Colors
• Mesonic Spectra of Bosonized QCD_2 Models
• The spectrum of multi-flavor QCD_2 and the non-Abelian Schwinger equation
• Entanglement between Valence and Sea Quarks in Hadrons of 1+1 Dimensional QCD
• On the Spectrum of QCD(1+1) with SU(N_c) Currents
• On the Bosonic Spectrum of QCD(1+1) with SU(N) Currents
• On the spectrum of QCD(1+1) with large numbers of flavours N_F and colours N_C near N_F/N_C = 0