TY - JOUR

T1 - (1+1)-dimensional large-N QCD coupled to adjoint fermions

AU - Bhanot, Gyan

AU - Demeterfi, Kreimir

AU - Klebanov, Igor R.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.48.4980

DO - 10.1103/PhysRevD.48.4980

M3 - Article

AN - SCOPUS:0001550180

VL - 48

SP - 4980

EP - 4990

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

ER -