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

Gyan Bhanot, Kreimir Demeterfi, Igor R. Klebanov

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112 Scopus citations


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 lightcone Schrödinger equation, which we study numerically using the discretized light-cone quantization. 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.

Original languageEnglish (US)
Pages (from-to)4980-4990
Number of pages11
JournalPhysical Review D
Issue number10
StatePublished - 1993

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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