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arxiv: hep-th/9307111 · v1 · submitted 1993-07-18 · ✦ hep-th · hep-lat

1+1-Dimensional Large N QCD coupled to Adjoint Fermions

classification ✦ hep-th hep-lat
keywords statesadjointboundcoupleddimensionalfermionslimitparton
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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.

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