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(1+1)-dimensional large- N QCD coupled to adjoint fermions

1993; American Physical Society; Volume: 48; Issue: 10 Linguagem: Inglês

10.1103/physrevd.48.4980

1538-4500

Gyan Bhanot, Krešimir Demeterfi, Igor R. Klebanov,

Black Holes and Theoretical Physics

We consider 1+1-dimensional QCD coupled to Majorana fermions in the adjoint representation of the gauge group $SU(N)$. Pair creation of partons (fermion quanta) is not suppressed in the large-$N$ limit, where the glueball-like bound states become free. In this limit the spectrum is given by a linear \lc\ Schr\" odinger equation, which we study numerically using the discretized \lcq. We find a discrete spectrum of bound states, with the logarithm of the level density growing approximately linearly with the mass. The wave function of a typical excited state is a complicated mixture of components with different parton numbers. A few low-lying states, however, are surprisingly close to being eigenstates of the parton number, and their masses can be accurately calculated by truncated diagonalizations.