{ "id": "hep-th/9307111", "version": "v1", "published": "1993-07-18T18:14:22.000Z", "updated": "1993-07-18T18:14:22.000Z", "title": "$1+1$-Dimensional Large $N$ QCD coupled to Adjoint Fermions", "authors": [ "G. Bhanot", "K. Demeterfi", "I. Klebanov" ], "comment": "22 pages + 9 figures (available by request from kresimir@puhep1.princeton.edu), uses phyzzx.tex + tables.tex PUPT-1413, IASSNS-HEP-93/42", "journal": "Phys.Rev. D48 (1993) 4980-4990", "doi": "10.1103/PhysRevD.48.4980", "categories": [ "hep-th", "hep-lat" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "1993-07-18T18:14:22.000Z" } ], "analyses": { "keywords": [ "dimensional large", "adjoint fermions", "density growing", "parton number" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "inspire": 356921 } } }