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

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

1993-07-18

arxiv.org/abs/hep-th/9307111v1

Phys.Rev. D48 (1993) 4980-4990

Physics

High Energy Physics

High Energy Physics - Theory

22 pages + 9 figures (available by request from kresimir@puhep1.princeton.edu), uses phyzzx.tex + tables.tex PUPT-1413, IASS

Scientific paper

10.1103/PhysRevD.48.4980

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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